Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,2,Mod(2,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.l (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.598878015160\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 62.2 | ||
Character | \(\chi\) | \(=\) | 75.62 |
Dual form | 75.2.l.a.23.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.78150 | + | 0.282162i | −1.25971 | + | 0.199519i | −0.750355 | − | 0.661036i | \(-0.770117\pi\) |
−0.509358 | + | 0.860554i | \(0.670117\pi\) | |||||||
\(3\) | 0.0717082 | − | 1.73057i | 0.0414007 | − | 0.999143i | ||||
\(4\) | 1.19203 | − | 0.387313i | 0.596013 | − | 0.193656i | ||||
\(5\) | −2.23260 | − | 0.124491i | −0.998449 | − | 0.0556739i | ||||
\(6\) | 0.360552 | + | 3.10324i | 0.147195 | + | 1.26689i | ||||
\(7\) | −2.65364 | − | 2.65364i | −1.00298 | − | 1.00298i | −0.999996 | − | 0.00298642i | \(-0.999049\pi\) |
−0.00298642 | − | 0.999996i | \(-0.500951\pi\) | |||||||
\(8\) | 1.19992 | − | 0.611391i | 0.424237 | − | 0.216159i | ||||
\(9\) | −2.98972 | − | 0.248191i | −0.996572 | − | 0.0827305i | ||||
\(10\) | 4.01251 | − | 0.408175i | 1.26887 | − | 0.129076i | ||||
\(11\) | 1.51304 | − | 2.08252i | 0.456198 | − | 0.627903i | −0.517517 | − | 0.855673i | \(-0.673143\pi\) |
0.973715 | + | 0.227770i | \(0.0731435\pi\) | |||||||
\(12\) | −0.584792 | − | 2.09065i | −0.168815 | − | 0.603519i | ||||
\(13\) | 0.0649985 | − | 0.410385i | 0.0180273 | − | 0.113820i | −0.977034 | − | 0.213085i | \(-0.931649\pi\) |
0.995061 | + | 0.0992645i | \(0.0316490\pi\) | |||||||
\(14\) | 5.47623 | + | 3.97871i | 1.46358 | + | 1.06336i | ||||
\(15\) | −0.375535 | + | 3.85473i | −0.0969627 | + | 0.995288i | ||||
\(16\) | −3.99315 | + | 2.90119i | −0.998287 | + | 0.725298i | ||||
\(17\) | 0.931829 | + | 1.82882i | 0.226002 | + | 0.443554i | 0.975965 | − | 0.217926i | \(-0.0699290\pi\) |
−0.749964 | + | 0.661479i | \(0.769929\pi\) | |||||||
\(18\) | 5.39622 | − | 0.401432i | 1.27190 | − | 0.0946184i | ||||
\(19\) | 4.65508 | + | 1.51253i | 1.06795 | + | 0.346997i | 0.789688 | − | 0.613509i | \(-0.210242\pi\) |
0.278260 | + | 0.960506i | \(0.410242\pi\) | |||||||
\(20\) | −2.70953 | + | 0.716318i | −0.605870 | + | 0.160174i | ||||
\(21\) | −4.78259 | + | 4.40201i | −1.04365 | + | 0.960598i | ||||
\(22\) | −2.10787 | + | 4.13694i | −0.449400 | + | 0.881998i | ||||
\(23\) | −0.345599 | − | 2.18202i | −0.0720623 | − | 0.454983i | −0.997164 | − | 0.0752633i | \(-0.976020\pi\) |
0.925101 | − | 0.379720i | \(-0.123980\pi\) | |||||||
\(24\) | −0.972008 | − | 2.12039i | −0.198410 | − | 0.432822i | ||||
\(25\) | 4.96900 | + | 0.555875i | 0.993801 | + | 0.111175i | ||||
\(26\) | 0.749442i | 0.146978i | ||||||||
\(27\) | −0.643899 | + | 5.15610i | −0.123918 | + | 0.992292i | ||||
\(28\) | −4.19100 | − | 2.13542i | −0.792024 | − | 0.403556i | ||||
\(29\) | −1.43698 | − | 4.42258i | −0.266841 | − | 0.821252i | −0.991264 | − | 0.131896i | \(-0.957893\pi\) |
0.724423 | − | 0.689356i | \(-0.242107\pi\) | |||||||
\(30\) | −0.418645 | − | 6.97318i | −0.0764337 | − | 1.27312i | ||||
\(31\) | 2.77301 | − | 8.53446i | 0.498048 | − | 1.53283i | −0.314104 | − | 0.949389i | \(-0.601704\pi\) |
0.812152 | − | 0.583446i | \(-0.198296\pi\) | |||||||
\(32\) | 4.39067 | − | 4.39067i | 0.776169 | − | 0.776169i | ||||
\(33\) | −3.49544 | − | 2.76775i | −0.608478 | − | 0.481803i | ||||
\(34\) | −2.17608 | − | 2.99512i | −0.373195 | − | 0.513659i | ||||
\(35\) | 5.59416 | + | 6.25487i | 0.945586 | + | 1.05727i | ||||
\(36\) | −3.65994 | + | 0.862104i | −0.609991 | + | 0.143684i | ||||
\(37\) | −4.34815 | − | 0.688680i | −0.714832 | − | 0.113218i | −0.211583 | − | 0.977360i | \(-0.567862\pi\) |
−0.503249 | + | 0.864142i | \(0.667862\pi\) | |||||||
\(38\) | −8.71981 | − | 1.38108i | −1.41454 | − | 0.224041i | ||||
\(39\) | −0.705537 | − | 0.141912i | −0.112976 | − | 0.0227241i | ||||
\(40\) | −2.75506 | + | 1.21561i | −0.435613 | + | 0.192205i | ||||
\(41\) | −2.81270 | − | 3.87134i | −0.439269 | − | 0.604602i | 0.530780 | − | 0.847510i | \(-0.321899\pi\) |
−0.970050 | + | 0.242907i | \(0.921899\pi\) | |||||||
\(42\) | 7.27811 | − | 9.19167i | 1.12304 | − | 1.41830i | ||||
\(43\) | −2.89094 | + | 2.89094i | −0.440865 | + | 0.440865i | −0.892303 | − | 0.451438i | \(-0.850911\pi\) |
0.451438 | + | 0.892303i | \(0.350911\pi\) | |||||||
\(44\) | 0.996995 | − | 3.06843i | 0.150303 | − | 0.462584i | ||||
\(45\) | 6.64394 | + | 0.926304i | 0.990420 | + | 0.138085i | ||||
\(46\) | 1.23137 | + | 3.78977i | 0.181556 | + | 0.558771i | ||||
\(47\) | 4.60775 | + | 2.34777i | 0.672110 | + | 0.342457i | 0.756517 | − | 0.653974i | \(-0.226900\pi\) |
−0.0844068 | + | 0.996431i | \(0.526900\pi\) | |||||||
\(48\) | 4.73436 | + | 7.11845i | 0.683347 | + | 1.02746i | ||||
\(49\) | 7.08362i | 1.01195i | ||||||||
\(50\) | −9.00914 | + | 0.411772i | −1.27409 | + | 0.0582334i | ||||
\(51\) | 3.23171 | − | 1.48145i | 0.452530 | − | 0.207445i | ||||
\(52\) | −0.0814672 | − | 0.514364i | −0.0112975 | − | 0.0713294i | ||||
\(53\) | 0.216367 | − | 0.424645i | 0.0297204 | − | 0.0583295i | −0.875669 | − | 0.482912i | \(-0.839579\pi\) |
0.905389 | + | 0.424582i | \(0.139579\pi\) | |||||||
\(54\) | −0.307751 | − | 9.36730i | −0.0418796 | − | 1.27473i | ||||
\(55\) | −3.63726 | + | 4.46107i | −0.490448 | + | 0.601531i | ||||
\(56\) | −4.80658 | − | 1.56175i | −0.642306 | − | 0.208698i | ||||
\(57\) | 2.95133 | − | 7.94745i | 0.390914 | − | 1.05267i | ||||
\(58\) | 3.80788 | + | 7.47338i | 0.499999 | + | 0.981302i | ||||
\(59\) | −4.95118 | + | 3.59724i | −0.644589 | + | 0.468321i | −0.861424 | − | 0.507887i | \(-0.830427\pi\) |
0.216835 | + | 0.976208i | \(0.430427\pi\) | |||||||
\(60\) | 1.04534 | + | 4.74039i | 0.134953 | + | 0.611982i | ||||
\(61\) | −4.67453 | − | 3.39625i | −0.598513 | − | 0.434845i | 0.246838 | − | 0.969057i | \(-0.420608\pi\) |
−0.845351 | + | 0.534212i | \(0.820608\pi\) | |||||||
\(62\) | −2.53203 | + | 15.9866i | −0.321568 | + | 2.03030i | ||||
\(63\) | 7.27502 | + | 8.59224i | 0.916567 | + | 1.08252i | ||||
\(64\) | −0.780730 | + | 1.07458i | −0.0975913 | + | 0.134323i | ||||
\(65\) | −0.196205 | + | 0.908133i | −0.0243362 | + | 0.112640i | ||||
\(66\) | 7.00809 | + | 3.94447i | 0.862636 | + | 0.485530i | ||||
\(67\) | 9.21834 | − | 4.69698i | 1.12620 | − | 0.573827i | 0.211264 | − | 0.977429i | \(-0.432242\pi\) |
0.914935 | + | 0.403602i | \(0.132242\pi\) | |||||||
\(68\) | 1.81909 | + | 1.81909i | 0.220597 | + | 0.220597i | ||||
\(69\) | −3.80092 | + | 0.441612i | −0.457577 | + | 0.0531639i | ||||
\(70\) | −11.7309 | − | 9.56461i | −1.40211 | − | 1.14319i | ||||
\(71\) | 12.9061 | − | 4.19346i | 1.53168 | − | 0.497672i | 0.582611 | − | 0.812751i | \(-0.302031\pi\) |
0.949065 | + | 0.315079i | \(0.102031\pi\) | |||||||
\(72\) | −3.73917 | + | 1.53008i | −0.440665 | + | 0.180321i | ||||
\(73\) | −1.06639 | + | 0.168899i | −0.124811 | + | 0.0197682i | −0.218528 | − | 0.975831i | \(-0.570125\pi\) |
0.0937163 | + | 0.995599i | \(0.470125\pi\) | |||||||
\(74\) | 7.94057 | 0.923072 | ||||||||
\(75\) | 1.31830 | − | 8.55933i | 0.152224 | − | 0.988346i | ||||
\(76\) | 6.13479 | 0.703709 | ||||||||
\(77\) | −9.54132 | + | 1.51120i | −1.08733 | + | 0.172217i | ||||
\(78\) | 1.29696 | + | 0.0537411i | 0.146852 | + | 0.00608498i | ||||
\(79\) | −4.39667 | + | 1.42856i | −0.494664 | + | 0.160726i | −0.545716 | − | 0.837970i | \(-0.683742\pi\) |
0.0510525 | + | 0.998696i | \(0.483742\pi\) | |||||||
\(80\) | 9.27628 | − | 5.98009i | 1.03712 | − | 0.668595i | ||||
\(81\) | 8.87680 | + | 1.48404i | 0.986311 | + | 0.164894i | ||||
\(82\) | 6.10318 | + | 6.10318i | 0.673983 | + | 0.673983i | ||||
\(83\) | −1.01195 | + | 0.515613i | −0.111076 | + | 0.0565958i | −0.508646 | − | 0.860976i | \(-0.669854\pi\) |
0.397570 | + | 0.917572i | \(0.369854\pi\) | |||||||
\(84\) | −3.99601 | + | 7.09967i | −0.436001 | + | 0.774637i | ||||
\(85\) | −1.85273 | − | 4.19902i | −0.200957 | − | 0.455448i | ||||
\(86\) | 4.33451 | − | 5.96594i | 0.467402 | − | 0.643324i | ||||
\(87\) | −7.75661 | + | 2.16966i | −0.831596 | + | 0.232612i | ||||
\(88\) | 0.542296 | − | 3.42392i | 0.0578089 | − | 0.364991i | ||||
\(89\) | 5.82225 | + | 4.23011i | 0.617157 | + | 0.448391i | 0.851927 | − | 0.523660i | \(-0.175434\pi\) |
−0.234770 | + | 0.972051i | \(0.575434\pi\) | |||||||
\(90\) | −12.0976 | + | 0.224458i | −1.27520 | + | 0.0236599i | ||||
\(91\) | −1.26150 | + | 0.916531i | −0.132241 | + | 0.0960785i | ||||
\(92\) | −1.25709 | − | 2.46717i | −0.131060 | − | 0.257221i | ||||
\(93\) | −14.5706 | − | 5.41087i | −1.51090 | − | 0.561082i | ||||
\(94\) | −8.87118 | − | 2.88242i | −0.914992 | − | 0.297299i | ||||
\(95\) | −10.2046 | − | 3.95638i | −1.04697 | − | 0.405916i | ||||
\(96\) | −7.28350 | − | 7.91320i | −0.743369 | − | 0.807637i | ||||
\(97\) | 0.522084 | − | 1.02465i | 0.0530096 | − | 0.104037i | −0.862982 | − | 0.505235i | \(-0.831406\pi\) |
0.915992 | + | 0.401198i | \(0.131406\pi\) | |||||||
\(98\) | −1.99873 | − | 12.6195i | −0.201902 | − | 1.27476i | ||||
\(99\) | −5.04042 | + | 5.85062i | −0.506581 | + | 0.588009i | ||||
\(100\) | 6.13848 | − | 1.26194i | 0.613848 | − | 0.126194i | ||||
\(101\) | 14.0067i | 1.39372i | 0.717208 | + | 0.696859i | \(0.245420\pi\) | ||||
−0.717208 | + | 0.696859i | \(0.754580\pi\) | |||||||
\(102\) | −5.33929 | + | 3.55108i | −0.528669 | + | 0.351609i | ||||
\(103\) | 17.5331 | + | 8.93356i | 1.72759 | + | 0.880250i | 0.975137 | + | 0.221602i | \(0.0711287\pi\) |
0.752451 | + | 0.658648i | \(0.228871\pi\) | |||||||
\(104\) | −0.172912 | − | 0.532169i | −0.0169554 | − | 0.0521835i | ||||
\(105\) | 11.2256 | − | 9.23254i | 1.09551 | − | 0.901004i | ||||
\(106\) | −0.265640 | + | 0.817557i | −0.0258013 | + | 0.0794082i | ||||
\(107\) | −2.92692 | + | 2.92692i | −0.282956 | + | 0.282956i | −0.834287 | − | 0.551331i | \(-0.814120\pi\) |
0.551331 | + | 0.834287i | \(0.314120\pi\) | |||||||
\(108\) | 1.22948 | + | 6.39560i | 0.118307 | + | 0.615416i | ||||
\(109\) | −3.74391 | − | 5.15305i | −0.358601 | − | 0.493573i | 0.591157 | − | 0.806557i | \(-0.298671\pi\) |
−0.949758 | + | 0.312984i | \(0.898671\pi\) | |||||||
\(110\) | 5.22105 | − | 8.97371i | 0.497808 | − | 0.855610i | ||||
\(111\) | −1.50360 | + | 7.47538i | −0.142716 | + | 0.709532i | ||||
\(112\) | 18.2951 | + | 2.89766i | 1.72873 | + | 0.273803i | ||||
\(113\) | 2.44093 | + | 0.386605i | 0.229623 | + | 0.0363687i | 0.270186 | − | 0.962808i | \(-0.412915\pi\) |
−0.0405624 | + | 0.999177i | \(0.512915\pi\) | |||||||
\(114\) | −3.01534 | + | 14.9912i | −0.282412 | + | 1.40405i | ||||
\(115\) | 0.499942 | + | 4.91461i | 0.0466198 | + | 0.458290i | ||||
\(116\) | −3.42584 | − | 4.71526i | −0.318081 | − | 0.437801i | ||||
\(117\) | −0.296181 | + | 1.21080i | −0.0273819 | + | 0.111939i | ||||
\(118\) | 7.80554 | − | 7.80554i | 0.718558 | − | 0.718558i | ||||
\(119\) | 2.38029 | − | 7.32577i | 0.218200 | − | 0.671552i | ||||
\(120\) | 1.90614 | + | 4.85498i | 0.174006 | + | 0.443197i | ||||
\(121\) | 1.35159 | + | 4.15976i | 0.122872 | + | 0.378160i | ||||
\(122\) | 9.28599 | + | 4.73145i | 0.840714 | + | 0.428365i | ||||
\(123\) | −6.90131 | + | 4.58995i | −0.622270 | + | 0.413862i | ||||
\(124\) | − | 11.2473i | − | 1.01004i | ||||||
\(125\) | −11.0246 | − | 1.85964i | −0.986070 | − | 0.166331i | ||||
\(126\) | −15.3849 | − | 13.2544i | −1.37059 | − | 1.18079i | ||||
\(127\) | −2.69212 | − | 16.9974i | −0.238887 | − | 1.50828i | −0.757256 | − | 0.653118i | \(-0.773460\pi\) |
0.518368 | − | 0.855157i | \(-0.326540\pi\) | |||||||
\(128\) | −4.55030 | + | 8.93048i | −0.402194 | + | 0.789350i | ||||
\(129\) | 4.79566 | + | 5.21027i | 0.422235 | + | 0.458739i | ||||
\(130\) | 0.0932984 | − | 1.67320i | 0.00818281 | − | 0.146750i | ||||
\(131\) | 1.84452 | + | 0.599322i | 0.161157 | + | 0.0523630i | 0.388484 | − | 0.921455i | \(-0.372999\pi\) |
−0.227328 | + | 0.973818i | \(0.572999\pi\) | |||||||
\(132\) | −5.23863 | − | 1.94540i | −0.455965 | − | 0.169325i | ||||
\(133\) | −8.33920 | − | 16.3666i | −0.723100 | − | 1.41916i | ||||
\(134\) | −15.0972 | + | 10.9687i | −1.30420 | + | 0.947555i | ||||
\(135\) | 2.07945 | − | 11.4314i | 0.178971 | − | 0.983854i | ||||
\(136\) | 2.23625 | + | 1.62473i | 0.191757 | + | 0.139319i | ||||
\(137\) | 2.79760 | − | 17.6634i | 0.239015 | − | 1.50908i | −0.517827 | − | 0.855485i | \(-0.673259\pi\) |
0.756842 | − | 0.653598i | \(-0.226741\pi\) | |||||||
\(138\) | 6.64674 | − | 1.85921i | 0.565808 | − | 0.158266i | ||||
\(139\) | −6.08642 | + | 8.37724i | −0.516244 | + | 0.710549i | −0.984957 | − | 0.172802i | \(-0.944718\pi\) |
0.468713 | + | 0.883351i | \(0.344718\pi\) | |||||||
\(140\) | 9.09098 | + | 5.28928i | 0.768328 | + | 0.447025i | ||||
\(141\) | 4.39338 | − | 7.80567i | 0.369989 | − | 0.657356i | ||||
\(142\) | −21.8091 | + | 11.1123i | −1.83018 | + | 0.932522i | ||||
\(143\) | −0.756288 | − | 0.756288i | −0.0632440 | − | 0.0632440i | ||||
\(144\) | 12.6584 | − | 7.68268i | 1.05487 | − | 0.640223i | ||||
\(145\) | 2.65764 | + | 10.0527i | 0.220705 | + | 0.834835i | ||||
\(146\) | 1.85212 | − | 0.601789i | 0.153282 | − | 0.0498044i | ||||
\(147\) | 12.2587 | + | 0.507953i | 1.01108 | + | 0.0418953i | ||||
\(148\) | −5.44984 | + | 0.863170i | −0.447974 | + | 0.0709522i | ||||
\(149\) | 4.78690 | 0.392158 | 0.196079 | − | 0.980588i | \(-0.437179\pi\) | ||||
0.196079 | + | 0.980588i | \(0.437179\pi\) | |||||||
\(150\) | 0.0665700 | + | 15.6204i | 0.00543542 | + | 1.27540i | ||||
\(151\) | 1.26327 | 0.102804 | 0.0514018 | − | 0.998678i | \(-0.483631\pi\) | ||||
0.0514018 | + | 0.998678i | \(0.483631\pi\) | |||||||
\(152\) | 6.51048 | − | 1.03116i | 0.528069 | − | 0.0836380i | ||||
\(153\) | −2.33201 | − | 5.69892i | −0.188532 | − | 0.460730i | ||||
\(154\) | 16.5715 | − | 5.38440i | 1.33537 | − | 0.433887i | ||||
\(155\) | −7.25349 | + | 18.7088i | −0.582615 | + | 1.50273i | ||||
\(156\) | −0.895982 | + | 0.104100i | −0.0717360 | + | 0.00833469i | ||||
\(157\) | 12.0563 | + | 12.0563i | 0.962199 | + | 0.962199i | 0.999311 | − | 0.0371121i | \(-0.0118159\pi\) |
−0.0371121 | + | 0.999311i | \(0.511816\pi\) | |||||||
\(158\) | 7.42959 | − | 3.78557i | 0.591067 | − | 0.301163i | ||||
\(159\) | −0.719361 | − | 0.404889i | −0.0570490 | − | 0.0321098i | ||||
\(160\) | −10.3492 | + | 9.25602i | −0.818177 | + | 0.731753i | ||||
\(161\) | −4.87321 | + | 6.70740i | −0.384063 | + | 0.528617i | ||||
\(162\) | −16.2328 | − | 0.139128i | −1.27537 | − | 0.0109310i | ||||
\(163\) | 1.20973 | − | 7.63796i | 0.0947537 | − | 0.598251i | −0.893927 | − | 0.448213i | \(-0.852060\pi\) |
0.988680 | − | 0.150038i | \(-0.0479396\pi\) | |||||||
\(164\) | −4.85223 | − | 3.52535i | −0.378895 | − | 0.275283i | ||||
\(165\) | 7.45936 | + | 6.61442i | 0.580710 | + | 0.514932i | ||||
\(166\) | 1.65730 | − | 1.20410i | 0.128631 | − | 0.0934562i | ||||
\(167\) | −6.02873 | − | 11.8321i | −0.466517 | − | 0.915592i | −0.997664 | − | 0.0683121i | \(-0.978239\pi\) |
0.531147 | − | 0.847280i | \(-0.321761\pi\) | |||||||
\(168\) | −3.04738 | + | 8.20611i | −0.235111 | + | 0.633115i | ||||
\(169\) | 12.1995 | + | 3.96387i | 0.938426 | + | 0.304913i | ||||
\(170\) | 4.48545 | + | 6.95780i | 0.344019 | + | 0.533639i | ||||
\(171\) | −13.5420 | − | 5.67737i | −1.03558 | − | 0.434159i | ||||
\(172\) | −2.32638 | + | 4.56578i | −0.177385 | + | 0.348137i | ||||
\(173\) | 2.20357 | + | 13.9128i | 0.167535 | + | 1.05777i | 0.917918 | + | 0.396769i | \(0.129869\pi\) |
−0.750384 | + | 0.661002i | \(0.770131\pi\) | |||||||
\(174\) | 13.2062 | − | 6.05388i | 1.00116 | − | 0.458943i | ||||
\(175\) | −11.7109 | − | 14.6610i | −0.885258 | − | 1.10827i | ||||
\(176\) | 12.7054i | 0.957707i | ||||||||
\(177\) | 5.87023 | + | 8.82630i | 0.441233 | + | 0.663425i | ||||
\(178\) | −11.5659 | − | 5.89314i | −0.866903 | − | 0.441709i | ||||
\(179\) | −5.29166 | − | 16.2860i | −0.395517 | − | 1.21728i | −0.928558 | − | 0.371187i | \(-0.878951\pi\) |
0.533041 | − | 0.846089i | \(-0.321049\pi\) | |||||||
\(180\) | 8.27852 | − | 1.46910i | 0.617044 | − | 0.109501i | ||||
\(181\) | −6.96030 | + | 21.4216i | −0.517355 | + | 1.59226i | 0.261600 | + | 0.965176i | \(0.415750\pi\) |
−0.778955 | + | 0.627079i | \(0.784250\pi\) | |||||||
\(182\) | 1.98875 | − | 1.98875i | 0.147416 | − | 0.147416i | ||||
\(183\) | −6.21263 | + | 7.84605i | −0.459251 | + | 0.579997i | ||||
\(184\) | −1.74876 | − | 2.40696i | −0.128920 | − | 0.177444i | ||||
\(185\) | 9.62195 | + | 2.07885i | 0.707420 | + | 0.152840i | ||||
\(186\) | 27.4843 | + | 5.52822i | 2.01525 | + | 0.405348i | ||||
\(187\) | 5.21844 | + | 0.826520i | 0.381610 | + | 0.0604411i | ||||
\(188\) | 6.40188 | + | 1.01396i | 0.466905 | + | 0.0739505i | ||||
\(189\) | 15.3911 | − | 11.9738i | 1.11954 | − | 0.870964i | ||||
\(190\) | 19.2959 | + | 4.16894i | 1.39987 | + | 0.302447i | ||||
\(191\) | −0.575790 | − | 0.792507i | −0.0416627 | − | 0.0573438i | 0.787677 | − | 0.616088i | \(-0.211283\pi\) |
−0.829340 | + | 0.558744i | \(0.811283\pi\) | |||||||
\(192\) | 1.80365 | + | 1.42816i | 0.130167 | + | 0.103069i | ||||
\(193\) | −9.05853 | + | 9.05853i | −0.652047 | + | 0.652047i | −0.953486 | − | 0.301438i | \(-0.902533\pi\) |
0.301438 | + | 0.953486i | \(0.402533\pi\) | |||||||
\(194\) | −0.640977 | + | 1.97272i | −0.0460195 | + | 0.141633i | ||||
\(195\) | 1.55751 | + | 0.404666i | 0.111536 | + | 0.0289787i | ||||
\(196\) | 2.74357 | + | 8.44385i | 0.195970 | + | 0.603132i | ||||
\(197\) | −12.8760 | − | 6.56063i | −0.917375 | − | 0.467426i | −0.0694759 | − | 0.997584i | \(-0.522133\pi\) |
−0.847899 | + | 0.530158i | \(0.822133\pi\) | |||||||
\(198\) | 7.32870 | − | 11.8451i | 0.520828 | − | 0.841795i | ||||
\(199\) | − | 8.20493i | − | 0.581632i | −0.956779 | − | 0.290816i | \(-0.906073\pi\) | ||
0.956779 | − | 0.290816i | \(-0.0939268\pi\) | |||||||
\(200\) | 6.30228 | − | 2.37100i | 0.445638 | − | 0.167655i | ||||
\(201\) | −7.46740 | − | 16.2897i | −0.526710 | − | 1.14899i | ||||
\(202\) | −3.95216 | − | 24.9530i | −0.278073 | − | 1.75569i | ||||
\(203\) | −7.92270 | + | 15.5492i | −0.556064 | + | 1.09134i | ||||
\(204\) | 3.27850 | − | 3.01761i | 0.229541 | − | 0.211275i | ||||
\(205\) | 5.79768 | + | 8.99332i | 0.404928 | + | 0.628121i | ||||
\(206\) | −33.7560 | − | 10.9680i | −2.35189 | − | 0.764176i | ||||
\(207\) | 0.491682 | + | 6.60941i | 0.0341743 | + | 0.459385i | ||||
\(208\) | 0.931056 | + | 1.82730i | 0.0645571 | + | 0.126700i | ||||
\(209\) | 10.1932 | − | 7.40577i | 0.705076 | − | 0.512268i | ||||
\(210\) | −17.3934 | + | 19.6153i | −1.20026 | + | 1.35358i | ||||
\(211\) | −13.2828 | − | 9.65053i | −0.914427 | − | 0.664370i | 0.0277040 | − | 0.999616i | \(-0.491180\pi\) |
−0.942130 | + | 0.335246i | \(0.891180\pi\) | |||||||
\(212\) | 0.0934452 | − | 0.589989i | 0.00641784 | − | 0.0405206i | ||||
\(213\) | −6.33158 | − | 22.6356i | −0.433833 | − | 1.55097i | ||||
\(214\) | 4.38845 | − | 6.04018i | 0.299988 | − | 0.412898i | ||||
\(215\) | 6.81421 | − | 6.09442i | 0.464725 | − | 0.415636i | ||||
\(216\) | 2.37977 | + | 6.58060i | 0.161923 | + | 0.447753i | ||||
\(217\) | −30.0060 | + | 15.2888i | −2.03694 | + | 1.03787i | ||||
\(218\) | 8.12378 | + | 8.12378i | 0.550212 | + | 0.550212i | ||||
\(219\) | 0.215823 | + | 1.85757i | 0.0145839 | + | 0.125523i | ||||
\(220\) | −2.60788 | + | 6.72647i | −0.175823 | + | 0.453498i | ||||
\(221\) | 0.811086 | − | 0.263538i | 0.0545596 | − | 0.0177275i | ||||
\(222\) | 0.569404 | − | 13.7417i | 0.0382159 | − | 0.922281i | ||||
\(223\) | 8.11472 | − | 1.28525i | 0.543402 | − | 0.0860664i | 0.121302 | − | 0.992616i | \(-0.461293\pi\) |
0.422100 | + | 0.906549i | \(0.361293\pi\) | |||||||
\(224\) | −23.3025 | −1.55697 | ||||||||
\(225\) | −14.7179 | − | 2.89517i | −0.981196 | − | 0.193012i | ||||
\(226\) | −4.45761 | −0.296516 | ||||||||
\(227\) | 12.1889 | − | 1.93053i | 0.809006 | − | 0.128134i | 0.261789 | − | 0.965125i | \(-0.415687\pi\) |
0.547216 | + | 0.836991i | \(0.315687\pi\) | |||||||
\(228\) | 0.439914 | − | 10.6167i | 0.0291340 | − | 0.703105i | ||||
\(229\) | −3.40345 | + | 1.10585i | −0.224906 | + | 0.0730765i | −0.419302 | − | 0.907847i | \(-0.637725\pi\) |
0.194396 | + | 0.980923i | \(0.437725\pi\) | |||||||
\(230\) | −2.27737 | − | 8.61433i | −0.150165 | − | 0.568012i | ||||
\(231\) | 1.93103 | + | 16.6202i | 0.127053 | + | 1.09353i | ||||
\(232\) | −4.42819 | − | 4.42819i | −0.290725 | − | 0.290725i | ||||
\(233\) | 18.4950 | − | 9.42368i | 1.21165 | − | 0.617366i | 0.272925 | − | 0.962035i | \(-0.412009\pi\) |
0.938724 | + | 0.344669i | \(0.112009\pi\) | |||||||
\(234\) | 0.186005 | − | 2.24062i | 0.0121595 | − | 0.146474i | ||||
\(235\) | −9.99500 | − | 5.81525i | −0.652002 | − | 0.379345i | ||||
\(236\) | −4.50868 | + | 6.20566i | −0.293490 | + | 0.403954i | ||||
\(237\) | 2.15695 | + | 7.71116i | 0.140109 | + | 0.500894i | ||||
\(238\) | −2.17343 | + | 13.7225i | −0.140883 | + | 0.889498i | ||||
\(239\) | 2.93465 | + | 2.13215i | 0.189827 | + | 0.137917i | 0.678639 | − | 0.734472i | \(-0.262570\pi\) |
−0.488813 | + | 0.872389i | \(0.662570\pi\) | |||||||
\(240\) | −9.68376 | − | 16.4820i | −0.625084 | − | 1.06391i | ||||
\(241\) | −0.0534007 | + | 0.0387978i | −0.00343984 | + | 0.00249919i | −0.589504 | − | 0.807766i | \(-0.700677\pi\) |
0.586064 | + | 0.810265i | \(0.300677\pi\) | |||||||
\(242\) | −3.58159 | − | 7.02926i | −0.230233 | − | 0.451858i | ||||
\(243\) | 3.20477 | − | 15.2555i | 0.205586 | − | 0.978639i | ||||
\(244\) | −6.88757 | − | 2.23791i | −0.440932 | − | 0.143267i | ||||
\(245\) | 0.881844 | − | 15.8149i | 0.0563389 | − | 1.01038i | ||||
\(246\) | 10.9996 | − | 10.1243i | 0.701309 | − | 0.645502i | ||||
\(247\) | 0.923290 | − | 1.81206i | 0.0587476 | − | 0.115299i | ||||
\(248\) | −1.89049 | − | 11.9361i | −0.120046 | − | 0.757942i | ||||
\(249\) | 0.819737 | + | 1.78821i | 0.0519487 | + | 0.113323i | ||||
\(250\) | 20.1651 | + | 0.202231i | 1.27535 | + | 0.0127902i | ||||
\(251\) | − | 20.1220i | − | 1.27009i | −0.772475 | − | 0.635045i | \(-0.780982\pi\) | ||
0.772475 | − | 0.635045i | \(-0.219018\pi\) | |||||||
\(252\) | 11.9999 | + | 7.42446i | 0.755922 | + | 0.467697i | ||||
\(253\) | −5.06701 | − | 2.58177i | −0.318560 | − | 0.162315i | ||||
\(254\) | 9.59206 | + | 29.5213i | 0.601859 | + | 1.85233i | ||||
\(255\) | −7.39954 | + | 2.90517i | −0.463377 | + | 0.181929i | ||||
\(256\) | 6.40745 | − | 19.7201i | 0.400465 | − | 1.23251i | ||||
\(257\) | −1.50886 | + | 1.50886i | −0.0941203 | + | 0.0941203i | −0.752599 | − | 0.658479i | \(-0.771200\pi\) |
0.658479 | + | 0.752599i | \(0.271200\pi\) | |||||||
\(258\) | −10.0136 | − | 7.92896i | −0.623421 | − | 0.493635i | ||||
\(259\) | 9.71093 | + | 13.3659i | 0.603408 | + | 0.830520i | ||||
\(260\) | 0.117850 | + | 1.15851i | 0.00730876 | + | 0.0718477i | ||||
\(261\) | 3.19852 | + | 13.5789i | 0.197984 | + | 0.840513i | ||||
\(262\) | −3.45513 | − | 0.547239i | −0.213459 | − | 0.0338085i | ||||
\(263\) | 0.0907040 | + | 0.0143661i | 0.00559305 | + | 0.000885852i | 0.159230 | − | 0.987241i | \(-0.449099\pi\) |
−0.153637 | + | 0.988127i | \(0.549099\pi\) | |||||||
\(264\) | −5.88643 | − | 1.18400i | −0.362285 | − | 0.0728702i | ||||
\(265\) | −0.535926 | + | 0.921127i | −0.0329217 | + | 0.0565844i | ||||
\(266\) | 19.4743 | + | 26.8041i | 1.19405 | + | 1.64347i | ||||
\(267\) | 7.73799 | − | 9.77245i | 0.473557 | − | 0.598064i | ||||
\(268\) | 9.16929 | − | 9.16929i | 0.560104 | − | 0.560104i | ||||
\(269\) | −7.35968 | + | 22.6508i | −0.448728 | + | 1.38104i | 0.429616 | + | 0.903012i | \(0.358649\pi\) |
−0.878344 | + | 0.478030i | \(0.841351\pi\) | |||||||
\(270\) | −0.479056 | + | 20.9517i | −0.0291544 | + | 1.27508i | ||||
\(271\) | −1.88164 | − | 5.79110i | −0.114302 | − | 0.351784i | 0.877499 | − | 0.479578i | \(-0.159210\pi\) |
−0.991801 | + | 0.127794i | \(0.959210\pi\) | |||||||
\(272\) | −9.02669 | − | 4.59933i | −0.547323 | − | 0.278875i | ||||
\(273\) | 1.49566 | + | 2.24882i | 0.0905213 | + | 0.136105i | ||||
\(274\) | 32.2567i | 1.94870i | ||||||||
\(275\) | 8.67591 | − | 9.50698i | 0.523177 | − | 0.573293i | ||||
\(276\) | −4.35975 | + | 1.99856i | −0.262426 | + | 0.120299i | ||||
\(277\) | 0.0888634 | + | 0.561062i | 0.00533929 | + | 0.0337109i | 0.990214 | − | 0.139556i | \(-0.0445676\pi\) |
−0.984875 | + | 0.173267i | \(0.944568\pi\) | |||||||
\(278\) | 8.47924 | − | 16.6414i | 0.508551 | − | 0.998088i | ||||
\(279\) | −10.4087 | + | 24.8274i | −0.623153 | + | 1.48638i | ||||
\(280\) | 10.5367 | + | 4.08514i | 0.629690 | + | 0.244134i | ||||
\(281\) | 22.7198 | + | 7.38210i | 1.35535 | + | 0.440379i | 0.894487 | − | 0.447093i | \(-0.147541\pi\) |
0.460861 | + | 0.887472i | \(0.347541\pi\) | |||||||
\(282\) | −5.62436 | + | 15.1455i | −0.334926 | + | 0.901900i | ||||
\(283\) | 1.53874 | + | 3.01994i | 0.0914683 | + | 0.179517i | 0.932208 | − | 0.361923i | \(-0.117880\pi\) |
−0.840740 | + | 0.541439i | \(0.817880\pi\) | |||||||
\(284\) | 13.7603 | − | 9.99742i | 0.816522 | − | 0.593238i | ||||
\(285\) | −7.57853 | + | 17.3761i | −0.448913 | + | 1.02927i | ||||
\(286\) | 1.56073 | + | 1.13393i | 0.0922877 | + | 0.0670509i | ||||
\(287\) | −2.80927 | + | 17.7370i | −0.165826 | + | 1.04698i | ||||
\(288\) | −14.2166 | + | 12.0371i | −0.837721 | + | 0.709295i | ||||
\(289\) | 7.51608 | − | 10.3450i | 0.442122 | − | 0.608529i | ||||
\(290\) | −7.57110 | − | 17.1591i | −0.444590 | − | 1.00762i | ||||
\(291\) | −1.73578 | − | 0.976976i | −0.101753 | − | 0.0572713i | ||||
\(292\) | −1.20574 | + | 0.614357i | −0.0705609 | + | 0.0359526i | ||||
\(293\) | 6.26047 | + | 6.26047i | 0.365741 | + | 0.365741i | 0.865921 | − | 0.500181i | \(-0.166733\pi\) |
−0.500181 | + | 0.865921i | \(0.666733\pi\) | |||||||
\(294\) | −21.9822 | + | 2.55402i | −1.28203 | + | 0.148953i | ||||
\(295\) | 11.5018 | − | 7.41483i | 0.669662 | − | 0.431708i | ||||
\(296\) | −5.63850 | + | 1.83206i | −0.327731 | + | 0.106486i | ||||
\(297\) | 9.76344 | + | 9.14231i | 0.566532 | + | 0.530491i | ||||
\(298\) | −8.52787 | + | 1.35068i | −0.494006 | + | 0.0782429i | ||||
\(299\) | −0.917932 | −0.0530854 | ||||||||
\(300\) | −1.74369 | − | 10.7135i | −0.100672 | − | 0.618546i | ||||
\(301\) | 15.3430 | 0.884359 | ||||||||
\(302\) | −2.25052 | + | 0.356448i | −0.129503 | + | 0.0205113i | ||||
\(303\) | 24.2395 | + | 1.00439i | 1.39252 | + | 0.0577010i | ||||
\(304\) | −22.9765 | + | 7.46553i | −1.31779 | + | 0.428178i | ||||
\(305\) | 10.0136 | + | 8.16440i | 0.573375 | + | 0.467492i | ||||
\(306\) | 5.76250 | + | 9.49464i | 0.329420 | + | 0.542772i | ||||
\(307\) | 8.41939 | + | 8.41939i | 0.480520 | + | 0.480520i | 0.905298 | − | 0.424778i | \(-0.139648\pi\) |
−0.424778 | + | 0.905298i | \(0.639648\pi\) | |||||||
\(308\) | −10.7882 | + | 5.49686i | −0.614714 | + | 0.313212i | ||||
\(309\) | 16.7174 | − | 29.7016i | 0.951019 | − | 1.68966i | ||||
\(310\) | 7.64319 | − | 35.3765i | 0.434104 | − | 2.00925i | ||||
\(311\) | −8.02004 | + | 11.0386i | −0.454775 | + | 0.625944i | −0.973415 | − | 0.229049i | \(-0.926439\pi\) |
0.518640 | + | 0.854993i | \(0.326439\pi\) | |||||||
\(312\) | −0.933353 | + | 0.261075i | −0.0528407 | + | 0.0147805i | ||||
\(313\) | −3.83391 | + | 24.2063i | −0.216705 | + | 1.36822i | 0.604052 | + | 0.796945i | \(0.293552\pi\) |
−0.820757 | + | 0.571278i | \(0.806448\pi\) | |||||||
\(314\) | −24.8802 | − | 18.0765i | −1.40407 | − | 1.02012i | ||||
\(315\) | −15.1726 | − | 20.0887i | −0.854877 | − | 1.13187i | ||||
\(316\) | −4.68764 | + | 3.40577i | −0.263700 | + | 0.191590i | ||||
\(317\) | 6.52818 | + | 12.8123i | 0.366659 | + | 0.719609i | 0.998457 | − | 0.0555237i | \(-0.0176828\pi\) |
−0.631798 | + | 0.775133i | \(0.717683\pi\) | |||||||
\(318\) | 1.39579 | + | 0.518334i | 0.0782719 | + | 0.0290667i | ||||
\(319\) | −11.3843 | − | 3.69899i | −0.637399 | − | 0.207104i | ||||
\(320\) | 1.87683 | − | 2.30192i | 0.104918 | − | 0.128681i | ||||
\(321\) | 4.85534 | + | 5.27511i | 0.270999 | + | 0.294428i | ||||
\(322\) | 6.78907 | − | 13.3243i | 0.378340 | − | 0.742534i | ||||
\(323\) | 1.57160 | + | 9.92270i | 0.0874463 | + | 0.552114i | ||||
\(324\) | 11.1562 | − | 1.66908i | 0.619787 | − | 0.0927266i | ||||
\(325\) | 0.551101 | − | 2.00307i | 0.0305696 | − | 0.111110i | ||||
\(326\) | 13.9484i | 0.772530i | ||||||||
\(327\) | −9.18616 | + | 6.10957i | −0.507996 | + | 0.337860i | ||||
\(328\) | −5.74192 | − | 2.92566i | −0.317045 | − | 0.161542i | ||||
\(329\) | −5.99719 | − | 18.4575i | −0.330636 | − | 1.01759i | ||||
\(330\) | −15.1552 | − | 9.67886i | −0.834267 | − | 0.532804i | ||||
\(331\) | 4.35683 | − | 13.4089i | 0.239473 | − | 0.737022i | −0.757024 | − | 0.653388i | \(-0.773347\pi\) |
0.996497 | − | 0.0836344i | \(-0.0266528\pi\) | |||||||
\(332\) | −1.00656 | + | 1.00656i | −0.0552423 | + | 0.0552423i | ||||
\(333\) | 12.8288 | + | 3.13813i | 0.703015 | + | 0.171969i | ||||
\(334\) | 14.0788 | + | 19.3778i | 0.770356 | + | 1.06030i | ||||
\(335\) | −21.1656 | + | 9.33887i | −1.15640 | + | 0.510237i | ||||
\(336\) | 6.32650 | − | 31.4531i | 0.345139 | − | 1.71591i | ||||
\(337\) | 8.58755 | + | 1.36013i | 0.467794 | + | 0.0740912i | 0.385882 | − | 0.922548i | \(-0.373897\pi\) |
0.0819121 | + | 0.996640i | \(0.473897\pi\) | |||||||
\(338\) | −22.8520 | − | 3.61940i | −1.24298 | − | 0.196869i | ||||
\(339\) | 0.844080 | − | 4.19646i | 0.0458441 | − | 0.227921i | ||||
\(340\) | −3.83484 | − | 4.28776i | −0.207973 | − | 0.232536i | ||||
\(341\) | −13.5775 | − | 18.6878i | −0.735263 | − | 1.01200i | ||||
\(342\) | 25.7270 | + | 6.29323i | 1.39116 | + | 0.340299i | ||||
\(343\) | 0.221896 | − | 0.221896i | 0.0119813 | − | 0.0119813i | ||||
\(344\) | −1.70141 | + | 5.23640i | −0.0917339 | + | 0.282328i | ||||
\(345\) | 8.54091 | − | 0.512765i | 0.459827 | − | 0.0276063i | ||||
\(346\) | −7.85135 | − | 24.1640i | −0.422091 | − | 1.29906i | ||||
\(347\) | −6.53453 | − | 3.32951i | −0.350792 | − | 0.178737i | 0.269712 | − | 0.962941i | \(-0.413072\pi\) |
−0.620503 | + | 0.784204i | \(0.713072\pi\) | |||||||
\(348\) | −8.40574 | + | 5.59052i | −0.450595 | + | 0.299683i | ||||
\(349\) | − | 20.0518i | − | 1.07335i | −0.843790 | − | 0.536673i | \(-0.819681\pi\) | ||
0.843790 | − | 0.536673i | \(-0.180319\pi\) | |||||||
\(350\) | 24.9997 | + | 22.8143i | 1.33629 | + | 1.21948i | ||||
\(351\) | 2.07413 | + | 0.599385i | 0.110709 | + | 0.0319928i | ||||
\(352\) | −2.50040 | − | 15.7869i | −0.133272 | − | 0.841445i | ||||
\(353\) | 7.18066 | − | 14.0928i | 0.382188 | − | 0.750086i | −0.617136 | − | 0.786857i | \(-0.711707\pi\) |
0.999324 | + | 0.0367704i | \(0.0117070\pi\) | |||||||
\(354\) | −12.9483 | − | 14.0677i | −0.688193 | − | 0.747691i | ||||
\(355\) | −29.3363 | + | 7.75562i | −1.55701 | + | 0.411626i | ||||
\(356\) | 8.57864 | + | 2.78737i | 0.454667 | + | 0.147730i | ||||
\(357\) | −12.5070 | − | 4.64456i | −0.661943 | − | 0.245816i | ||||
\(358\) | 14.0224 | + | 27.5205i | 0.741108 | + | 1.45451i | ||||
\(359\) | −7.73096 | + | 5.61687i | −0.408024 | + | 0.296447i | −0.772801 | − | 0.634648i | \(-0.781145\pi\) |
0.364777 | + | 0.931095i | \(0.381145\pi\) | |||||||
\(360\) | 8.53855 | − | 2.95055i | 0.450021 | − | 0.155508i | ||||
\(361\) | 4.01067 | + | 2.91392i | 0.211088 | + | 0.153364i | ||||
\(362\) | 6.35543 | − | 40.1266i | 0.334034 | − | 2.10901i | ||||
\(363\) | 7.29566 | − | 2.04072i | 0.382923 | − | 0.107110i | ||||
\(364\) | −1.14875 | + | 1.58112i | −0.0602109 | + | 0.0828733i | ||||
\(365\) | 2.40184 | − | 0.244329i | 0.125718 | − | 0.0127888i | ||||
\(366\) | 8.85397 | − | 15.7307i | 0.462804 | − | 0.822259i | ||||
\(367\) | 9.22107 | − | 4.69837i | 0.481336 | − | 0.245253i | −0.196448 | − | 0.980514i | \(-0.562941\pi\) |
0.677784 | + | 0.735261i | \(0.262941\pi\) | |||||||
\(368\) | 7.71050 | + | 7.71050i | 0.401938 | + | 0.401938i | ||||
\(369\) | 7.44833 | + | 12.2723i | 0.387745 | + | 0.638871i | ||||
\(370\) | −17.7281 | − | 0.988526i | −0.921641 | − | 0.0513910i | ||||
\(371\) | −1.70102 | + | 0.552694i | −0.0883124 | + | 0.0286944i | ||||
\(372\) | −19.4642 | − | 0.806524i | −1.00917 | − | 0.0418163i | ||||
\(373\) | 21.3584 | − | 3.38283i | 1.10589 | − | 0.175156i | 0.423326 | − | 0.905978i | \(-0.360863\pi\) |
0.682569 | + | 0.730821i | \(0.260863\pi\) | |||||||
\(374\) | −9.52988 | −0.492779 | ||||||||
\(375\) | −4.00879 | + | 18.9454i | −0.207013 | + | 0.978338i | ||||
\(376\) | 6.96435 | 0.359159 | ||||||||
\(377\) | −1.90836 | + | 0.302255i | −0.0982855 | + | 0.0155669i | ||||
\(378\) | −24.0408 | + | 25.6741i | −1.23652 | + | 1.32053i | ||||
\(379\) | 13.1861 | − | 4.28441i | 0.677322 | − | 0.220075i | 0.0498997 | − | 0.998754i | \(-0.484110\pi\) |
0.627423 | + | 0.778679i | \(0.284110\pi\) | |||||||
\(380\) | −13.6965 | − | 0.763723i | −0.702617 | − | 0.0391782i | ||||
\(381\) | −29.6082 | + | 3.44005i | −1.51687 | + | 0.176239i | ||||
\(382\) | 1.24939 | + | 1.24939i | 0.0639242 | + | 0.0639242i | ||||
\(383\) | −32.7516 | + | 16.6878i | −1.67353 | + | 0.852705i | −0.680781 | + | 0.732487i | \(0.738359\pi\) |
−0.992748 | + | 0.120218i | \(0.961641\pi\) | |||||||
\(384\) | 15.1285 | + | 8.51499i | 0.772022 | + | 0.434529i | ||||
\(385\) | 21.4901 | − | 2.18609i | 1.09524 | − | 0.111414i | ||||
\(386\) | 13.5818 | − | 18.6938i | 0.691297 | − | 0.951488i | ||||
\(387\) | 9.36060 | − | 7.92559i | 0.475826 | − | 0.402880i | ||||
\(388\) | 0.225478 | − | 1.42361i | 0.0114469 | − | 0.0722731i | ||||
\(389\) | −20.2414 | − | 14.7063i | −1.02628 | − | 0.745637i | −0.0587206 | − | 0.998274i | \(-0.518702\pi\) |
−0.967561 | + | 0.252637i | \(0.918702\pi\) | |||||||
\(390\) | −2.88890 | − | 0.281441i | −0.146285 | − | 0.0142513i | ||||
\(391\) | 3.66849 | − | 2.66531i | 0.185523 | − | 0.134791i | ||||
\(392\) | 4.33086 | + | 8.49979i | 0.218742 | + | 0.429304i | ||||
\(393\) | 1.16943 | − | 3.14909i | 0.0589901 | − | 0.158851i | ||||
\(394\) | 24.7897 | + | 8.05468i | 1.24889 | + | 0.405789i | ||||
\(395\) | 9.99384 | − | 2.64207i | 0.502845 | − | 0.132937i | ||||
\(396\) | −3.74229 | + | 8.92630i | −0.188057 | + | 0.448563i | ||||
\(397\) | −4.38183 | + | 8.59982i | −0.219918 | + | 0.431613i | −0.974436 | − | 0.224667i | \(-0.927871\pi\) |
0.754518 | + | 0.656279i | \(0.227871\pi\) | |||||||
\(398\) | 2.31512 | + | 14.6171i | 0.116047 | + | 0.732689i | ||||
\(399\) | −28.9215 | + | 13.2579i | −1.44788 | + | 0.663726i | ||||
\(400\) | −21.4547 | + | 12.1963i | −1.07273 | + | 0.609817i | ||||
\(401\) | − | 1.44160i | − | 0.0719902i | −0.999352 | − | 0.0359951i | \(-0.988540\pi\) | ||
0.999352 | − | 0.0359951i | \(-0.0114601\pi\) | |||||||
\(402\) | 17.8995 | + | 26.9132i | 0.892748 | + | 1.34231i | ||||
\(403\) | −3.32217 | − | 1.69273i | −0.165489 | − | 0.0843209i | ||||
\(404\) | 5.42497 | + | 16.6963i | 0.269902 | + | 0.830674i | ||||
\(405\) | −19.6336 | − | 4.41835i | −0.975601 | − | 0.219550i | ||||
\(406\) | 9.72692 | − | 29.9364i | 0.482739 | − | 1.48572i | ||||
\(407\) | −8.01311 | + | 8.01311i | −0.397195 | + | 0.397195i | ||||
\(408\) | 2.97206 | − | 3.75347i | 0.147139 | − | 0.185824i | ||||
\(409\) | −11.1032 | − | 15.2822i | −0.549016 | − | 0.755656i | 0.440862 | − | 0.897575i | \(-0.354673\pi\) |
−0.989878 | + | 0.141919i | \(0.954673\pi\) | |||||||
\(410\) | −12.8662 | − | 14.3857i | −0.635414 | − | 0.710461i | ||||
\(411\) | −30.3670 | − | 6.10804i | −1.49789 | − | 0.301287i | ||||
\(412\) | 24.3600 | + | 3.85824i | 1.20013 | + | 0.190082i | ||||
\(413\) | 22.6844 | + | 3.59286i | 1.11623 | + | 0.176793i | ||||
\(414\) | −2.74086 | − | 11.6359i | −0.134706 | − | 0.571875i | ||||
\(415\) | 2.32346 | − | 1.02518i | 0.114054 | − | 0.0503241i | ||||
\(416\) | −1.51648 | − | 2.08725i | −0.0743514 | − | 0.102336i | ||||
\(417\) | 14.0609 | + | 11.1337i | 0.688567 | + | 0.545218i | ||||
\(418\) | −16.0695 | + | 16.0695i | −0.785987 | + | 0.785987i | ||||
\(419\) | 9.71996 | − | 29.9150i | 0.474851 | − | 1.46144i | −0.371307 | − | 0.928510i | \(-0.621090\pi\) |
0.846158 | − | 0.532932i | \(-0.178910\pi\) | |||||||
\(420\) | 9.80534 | − | 15.3532i | 0.478451 | − | 0.749162i | ||||
\(421\) | 7.63642 | + | 23.5025i | 0.372176 | + | 1.14544i | 0.945364 | + | 0.326017i | \(0.105707\pi\) |
−0.573188 | + | 0.819424i | \(0.694293\pi\) | |||||||
\(422\) | 26.3864 | + | 13.4445i | 1.28447 | + | 0.654470i | ||||
\(423\) | −13.1932 | − | 8.16276i | −0.641474 | − | 0.396887i | ||||
\(424\) | − | 0.641826i | − | 0.0311698i | ||||||
\(425\) | 3.61367 | + | 9.60539i | 0.175289 | + | 0.465930i | ||||
\(426\) | 17.6667 | + | 38.5389i | 0.855952 | + | 1.86722i | ||||
\(427\) | 3.39211 | + | 21.4170i | 0.164156 | + | 1.03644i | ||||
\(428\) | −2.35533 | + | 4.62259i | −0.113849 | + | 0.223442i | ||||
\(429\) | −1.36304 | + | 1.25457i | −0.0658081 | + | 0.0605714i | ||||
\(430\) | −10.4199 | + | 12.7799i | −0.502493 | + | 0.616304i | ||||
\(431\) | 10.3649 | + | 3.36776i | 0.499260 | + | 0.162219i | 0.547812 | − | 0.836601i | \(-0.315461\pi\) |
−0.0485523 | + | 0.998821i | \(0.515461\pi\) | |||||||
\(432\) | −12.3877 | − | 22.4572i | −0.596002 | − | 1.08047i | ||||
\(433\) | −9.93908 | − | 19.5065i | −0.477642 | − | 0.937425i | −0.996582 | − | 0.0826140i | \(-0.973673\pi\) |
0.518940 | − | 0.854811i | \(-0.326327\pi\) | |||||||
\(434\) | 49.1418 | − | 35.7036i | 2.35888 | − | 1.71383i | ||||
\(435\) | 17.5875 | − | 3.87835i | 0.843256 | − | 0.185953i | ||||
\(436\) | −6.45868 | − | 4.69250i | −0.309314 | − | 0.224730i | ||||
\(437\) | 1.69158 | − | 10.6802i | 0.0809192 | − | 0.510904i | ||||
\(438\) | −0.908624 | − | 3.24836i | −0.0434157 | − | 0.155213i | ||||
\(439\) | −8.08672 | + | 11.1304i | −0.385958 | + | 0.531226i | −0.957151 | − | 0.289590i | \(-0.906481\pi\) |
0.571193 | + | 0.820816i | \(0.306481\pi\) | |||||||
\(440\) | −1.63697 | + | 7.57673i | −0.0780397 | + | 0.361206i | ||||
\(441\) | 1.75809 | − | 21.1780i | 0.0837187 | − | 1.00848i | ||||
\(442\) | −1.37059 | + | 0.698352i | −0.0651924 | + | 0.0332172i | ||||
\(443\) | −12.3056 | − | 12.3056i | −0.584659 | − | 0.584659i | 0.351521 | − | 0.936180i | \(-0.385664\pi\) |
−0.936180 | + | 0.351521i | \(0.885664\pi\) | |||||||
\(444\) | 1.10298 | + | 9.49321i | 0.0523449 | + | 0.450528i | ||||
\(445\) | −12.4721 | − | 10.1690i | −0.591236 | − | 0.482055i | ||||
\(446\) | −14.0937 | + | 4.57934i | −0.667358 | + | 0.216838i | ||||
\(447\) | 0.343260 | − | 8.28404i | 0.0162356 | − | 0.391822i | ||||
\(448\) | 4.92334 | − | 0.779780i | 0.232606 | − | 0.0368411i | ||||
\(449\) | 8.35404 | 0.394251 | 0.197126 | − | 0.980378i | \(-0.436839\pi\) | ||||
0.197126 | + | 0.980378i | \(0.436839\pi\) | |||||||
\(450\) | 27.0370 | + | 1.00491i | 1.27454 | + | 0.0473719i | ||||
\(451\) | −12.3179 | −0.580026 | ||||||||
\(452\) | 3.05938 | − | 0.484559i | 0.143901 | − | 0.0227917i | ||||
\(453\) | 0.0905870 | − | 2.18618i | 0.00425615 | − | 0.102716i | ||||
\(454\) | −21.1698 | + | 6.87850i | −0.993550 | + | 0.322824i | ||||
\(455\) | 2.93052 | − | 1.88920i | 0.137385 | − | 0.0885671i | ||||
\(456\) | −1.31763 | − | 11.3407i | −0.0617038 | − | 0.531079i | ||||
\(457\) | −25.4728 | − | 25.4728i | −1.19157 | − | 1.19157i | −0.976627 | − | 0.214941i | \(-0.931044\pi\) |
−0.214941 | − | 0.976627i | \(-0.568956\pi\) | |||||||
\(458\) | 5.75123 | − | 2.93040i | 0.268737 | − | 0.136929i | ||||
\(459\) | −10.0296 | + | 3.62704i | −0.468141 | + | 0.169296i | ||||
\(460\) | 2.49943 | + | 5.66471i | 0.116537 | + | 0.264118i | ||||
\(461\) | −2.24515 | + | 3.09018i | −0.104567 | + | 0.143924i | −0.858094 | − | 0.513493i | \(-0.828351\pi\) |
0.753527 | + | 0.657417i | \(0.228351\pi\) | |||||||
\(462\) | −8.12975 | − | 29.0641i | −0.378230 | − | 1.35219i | ||||
\(463\) | 2.02126 | − | 12.7618i | 0.0939361 | − | 0.593089i | −0.895152 | − | 0.445762i | \(-0.852933\pi\) |
0.989088 | − | 0.147328i | \(-0.0470672\pi\) | |||||||
\(464\) | 18.5688 | + | 13.4911i | 0.862037 | + | 0.626306i | ||||
\(465\) | 31.8567 | + | 13.8942i | 1.47732 | + | 0.644329i | ||||
\(466\) | −30.2899 | + | 22.0069i | −1.40315 | + | 1.01945i | ||||
\(467\) | 14.4370 | + | 28.3341i | 0.668063 | + | 1.31115i | 0.937451 | + | 0.348116i | \(0.113178\pi\) |
−0.269388 | + | 0.963032i | \(0.586822\pi\) | |||||||
\(468\) | 0.115903 | + | 1.55802i | 0.00535762 | + | 0.0720195i | ||||
\(469\) | −36.9262 | − | 11.9981i | −1.70510 | − | 0.554019i | ||||
\(470\) | 19.4470 | + | 7.53967i | 0.897022 | + | 0.347779i | ||||
\(471\) | 21.7288 | − | 19.9997i | 1.00121 | − | 0.921538i | ||||
\(472\) | −3.74171 | + | 7.34352i | −0.172226 | + | 0.338013i | ||||
\(473\) | 1.64633 | + | 10.3945i | 0.0756986 | + | 0.477942i | ||||
\(474\) | −6.01841 | − | 13.1289i | −0.276435 | − | 0.603028i | ||||
\(475\) | 22.2903 | + | 10.1034i | 1.02275 | + | 0.463575i | ||||
\(476\) | − | 9.65442i | − | 0.442509i | ||||||
\(477\) | −0.752270 | + | 1.21587i | −0.0344441 | + | 0.0556707i | ||||
\(478\) | −5.82970 | − | 2.97038i | −0.266644 | − | 0.135862i | ||||
\(479\) | 11.4686 | + | 35.2968i | 0.524015 | + | 1.61275i | 0.766256 | + | 0.642536i | \(0.222118\pi\) |
−0.242241 | + | 0.970216i | \(0.577882\pi\) | |||||||
\(480\) | 15.2760 | + | 18.5737i | 0.697252 | + | 0.847771i | ||||
\(481\) | −0.565247 | + | 1.73965i | −0.0257731 | + | 0.0793213i | ||||
\(482\) | 0.0841861 | − | 0.0841861i | 0.00383457 | − | 0.00383457i | ||||
\(483\) | 11.2582 | + | 8.91439i | 0.512264 | + | 0.405619i | ||||
\(484\) | 3.22226 | + | 4.43505i | 0.146466 | + | 0.201593i | ||||
\(485\) | −1.29316 | + | 2.22263i | −0.0587195 | + | 0.100925i | ||||
\(486\) | −1.40479 | + | 28.0819i | −0.0637228 | + | 1.27382i | ||||
\(487\) | 17.7713 | + | 2.81470i | 0.805294 | + | 0.127546i | 0.545492 | − | 0.838116i | \(-0.316343\pi\) |
0.259802 | + | 0.965662i | \(0.416343\pi\) | |||||||
\(488\) | −7.68552 | − | 1.21727i | −0.347907 | − | 0.0551030i | ||||
\(489\) | −13.1312 | − | 2.64123i | −0.593816 | − | 0.119441i | ||||
\(490\) | 2.89136 | + | 28.4231i | 0.130618 | + | 1.28402i | ||||
\(491\) | −5.91226 | − | 8.13753i | −0.266817 | − | 0.367242i | 0.654495 | − | 0.756066i | \(-0.272881\pi\) |
−0.921312 | + | 0.388825i | \(0.872881\pi\) | |||||||
\(492\) | −6.44879 | + | 8.14430i | −0.290734 | + | 0.367173i | ||||
\(493\) | 6.74907 | − | 6.74907i | 0.303963 | − | 0.303963i | ||||
\(494\) | −1.13355 | + | 3.48871i | −0.0510008 | + | 0.156964i | ||||
\(495\) | 11.9816 | − | 12.4346i | 0.538532 | − | 0.558894i | ||||
\(496\) | 13.6871 | + | 42.1244i | 0.614567 | + | 1.89144i | ||||
\(497\) | −45.3762 | − | 23.1203i | −2.03540 | − | 1.03709i | ||||
\(498\) | −1.96493 | − | 2.95441i | −0.0880506 | − | 0.132390i | ||||
\(499\) | − | 5.04152i | − | 0.225689i | −0.993613 | − | 0.112845i | \(-0.964004\pi\) | ||
0.993613 | − | 0.112845i | \(-0.0359963\pi\) | |||||||
\(500\) | −13.8619 | + | 2.05322i | −0.619921 | + | 0.0918230i | ||||
\(501\) | −20.9085 | + | 9.58467i | −0.934121 | + | 0.428211i | ||||
\(502\) | 5.67767 | + | 35.8474i | 0.253407 | + | 1.59995i | ||||
\(503\) | 10.3102 | − | 20.2350i | 0.459710 | − | 0.902233i | −0.538511 | − | 0.842618i | \(-0.681013\pi\) |
0.998221 | − | 0.0596141i | \(-0.0189870\pi\) | |||||||
\(504\) | 13.9827 | + | 5.86214i | 0.622838 | + | 0.261121i | ||||
\(505\) | 1.74370 | − | 31.2714i | 0.0775938 | − | 1.39156i | ||||
\(506\) | 9.75537 | + | 3.16971i | 0.433679 | + | 0.140911i | ||||
\(507\) | 7.73455 | − | 20.8279i | 0.343503 | − | 0.924998i | ||||
\(508\) | −9.79239 | − | 19.2186i | −0.434467 | − | 0.852690i | ||||
\(509\) | −21.9199 | + | 15.9257i | −0.971583 | + | 0.705896i | −0.955812 | − | 0.293979i | \(-0.905020\pi\) |
−0.0157710 | + | 0.999876i | \(0.505020\pi\) | |||||||
\(510\) | 12.3626 | − | 7.26344i | 0.547424 | − | 0.321631i | ||||
\(511\) | 3.27801 | + | 2.38161i | 0.145011 | + | 0.105356i | ||||
\(512\) | −2.71476 | + | 17.1403i | −0.119977 | + | 0.757503i | ||||
\(513\) | −10.7961 | + | 23.0281i | −0.476661 | + | 1.01672i | ||||
\(514\) | 2.26230 | − | 3.11379i | 0.0997858 | − | 0.137343i | ||||
\(515\) | −38.0323 | − | 22.1278i | −1.67590 | − | 0.975067i | ||||
\(516\) | 7.73455 | + | 4.35335i | 0.340495 | + | 0.191646i | ||||
\(517\) | 11.8610 | − | 6.04347i | 0.521645 | − | 0.265792i | ||||
\(518\) | −21.0714 | − | 21.0714i | −0.925825 | − | 0.925825i | ||||
\(519\) | 24.2351 | − | 2.81577i | 1.06380 | − | 0.123598i | ||||
\(520\) | 0.319794 | + | 1.20965i | 0.0140239 | + | 0.0530465i | ||||
\(521\) | −11.6424 | + | 3.78283i | −0.510061 | + | 0.165729i | −0.552730 | − | 0.833360i | \(-0.686414\pi\) |
0.0426690 | + | 0.999089i | \(0.486414\pi\) | |||||||
\(522\) | −9.52964 | − | 23.2884i | −0.417101 | − | 1.01930i | ||||
\(523\) | −4.12395 | + | 0.653169i | −0.180328 | + | 0.0285611i | −0.245945 | − | 0.969284i | \(-0.579098\pi\) |
0.0656175 | + | 0.997845i | \(0.479098\pi\) | |||||||
\(524\) | 2.43084 | 0.106192 | ||||||||
\(525\) | −26.2117 | + | 19.2151i | −1.14397 | + | 0.838616i | ||||
\(526\) | −0.165643 | −0.00722238 | ||||||||
\(527\) | 18.1920 | − | 2.88132i | 0.792454 | − | 0.125512i | ||||
\(528\) | 21.9876 | + | 0.911082i | 0.956886 | + | 0.0396498i | ||||
\(529\) | 17.2325 | − | 5.59918i | 0.749240 | − | 0.243443i | ||||
\(530\) | 0.694847 | − | 1.79221i | 0.0301822 | − | 0.0778486i | ||||
\(531\) | 15.6954 | − | 9.52590i | 0.681124 | − | 0.413389i | ||||
\(532\) | −16.2795 | − | 16.2795i | −0.705807 | − | 0.705807i | ||||
\(533\) | −1.77156 | + | 0.902656i | −0.0767348 | + | 0.0390984i | ||||
\(534\) | −11.0278 | + | 19.5930i | −0.477221 | + | 0.847873i | ||||
\(535\) | 6.89901 | − | 6.17026i | 0.298270 | − | 0.266764i | ||||
\(536\) | 8.18960 | − | 11.2720i | 0.353737 | − | 0.486877i | ||||
\(537\) | −28.5635 | + | 7.98972i | −1.23261 | + | 0.344782i | ||||
\(538\) | 6.72010 | − | 42.4290i | 0.289724 | − | 1.82925i | ||||
\(539\) | 14.7518 | + | 10.7178i | 0.635404 | + | 0.461648i | ||||
\(540\) | −1.94874 | − | 14.4319i | −0.0838606 | − | 0.621049i | ||||
\(541\) | −18.9619 | + | 13.7766i | −0.815235 | + | 0.592303i | −0.915344 | − | 0.402674i | \(-0.868081\pi\) |
0.100109 | + | 0.994977i | \(0.468081\pi\) | |||||||
\(542\) | 4.98618 | + | 9.78594i | 0.214175 | + | 0.420342i | ||||
\(543\) | 36.5724 | + | 13.5814i | 1.56947 | + | 0.582832i | ||||
\(544\) | 12.1211 | + | 3.93838i | 0.519688 | + | 0.168857i | ||||
\(545\) | 7.71715 | + | 11.9708i | 0.330566 | + | 0.512772i | ||||
\(546\) | −3.29905 | − | 3.58427i | −0.141186 | − | 0.153393i | ||||
\(547\) | −10.1444 | + | 19.9096i | −0.433745 | + | 0.851272i | 0.565896 | + | 0.824477i | \(0.308530\pi\) |
−0.999641 | + | 0.0267956i | \(0.991470\pi\) | |||||||
\(548\) | −3.50643 | − | 22.1387i | −0.149787 | − | 0.945719i | ||||
\(549\) | 13.1326 | + | 11.3140i | 0.560486 | + | 0.482870i | ||||
\(550\) | −12.7737 | + | 19.3847i | −0.544671 | + | 0.826568i | ||||
\(551\) | − | 22.7609i | − | 0.969648i | ||||||
\(552\) | −4.29081 | + | 2.85375i | −0.182629 | + | 0.121464i | ||||
\(553\) | 15.4581 | + | 7.87628i | 0.657344 | + | 0.334934i | ||||
\(554\) | −0.316621 | − | 0.974459i | −0.0134519 | − | 0.0414008i | ||||
\(555\) | 4.28756 | − | 16.5024i | 0.181997 | − | 0.700486i | ||||
\(556\) | −4.01056 | + | 12.3432i | −0.170086 | + | 0.523470i | ||||
\(557\) | −13.6179 | + | 13.6179i | −0.577008 | + | 0.577008i | −0.934078 | − | 0.357069i | \(-0.883776\pi\) |
0.357069 | + | 0.934078i | \(0.383776\pi\) | |||||||
\(558\) | 11.5378 | − | 47.1670i | 0.488434 | − | 1.99674i | ||||
\(559\) | 0.998491 | + | 1.37431i | 0.0422317 | + | 0.0581269i | ||||
\(560\) | −40.4849 | − | 8.74688i | −1.71080 | − | 0.369623i | ||||
\(561\) | 1.80455 | − | 8.97159i | 0.0761882 | − | 0.378781i | ||||
\(562\) | −42.5583 | − | 6.74057i | −1.79521 | − | 0.284334i | ||||
\(563\) | 29.6479 | + | 4.69577i | 1.24951 | + | 0.197903i | 0.745918 | − | 0.666038i | \(-0.232011\pi\) |
0.503593 | + | 0.863941i | \(0.332011\pi\) | |||||||
\(564\) | 2.21379 | − | 11.0062i | 0.0932173 | − | 0.463443i | ||||
\(565\) | −5.40149 | − | 1.16701i | −0.227242 | − | 0.0490963i | ||||
\(566\) | −3.59338 | − | 4.94586i | −0.151041 | − | 0.207890i | ||||
\(567\) | −19.6177 | − | 27.4940i | −0.823867 | − | 1.15464i | ||||
\(568\) | 12.9225 | − | 12.9225i | 0.542217 | − | 0.542217i | ||||
\(569\) | −11.3230 | + | 34.8486i | −0.474684 | + | 1.46093i | 0.371698 | + | 0.928354i | \(0.378776\pi\) |
−0.846383 | + | 0.532575i | \(0.821224\pi\) | |||||||
\(570\) | 8.59830 | − | 33.0939i | 0.360143 | − | 1.38615i | ||||
\(571\) | 8.06733 | + | 24.8287i | 0.337607 | + | 1.03905i | 0.965423 | + | 0.260687i | \(0.0839489\pi\) |
−0.627816 | + | 0.778362i | \(0.716051\pi\) | |||||||
\(572\) | −1.19443 | − | 0.608595i | −0.0499418 | − | 0.0254466i | ||||
\(573\) | −1.41277 | + | 0.939613i | −0.0590195 | + | 0.0392529i | ||||
\(574\) | − | 32.3913i | − | 1.35199i | ||||||
\(575\) | −0.504348 | − | 11.0346i | −0.0210328 | − | 0.460174i | ||||
\(576\) | 2.60086 | − | 3.01893i | 0.108369 | − | 0.125789i | ||||
\(577\) | −0.538723 | − | 3.40137i | −0.0224273 | − | 0.141601i | 0.973934 | − | 0.226832i | \(-0.0728370\pi\) |
−0.996361 | + | 0.0852317i | \(0.972837\pi\) | |||||||
\(578\) | −10.4710 | + | 20.5504i | −0.435534 | + | 0.854784i | ||||
\(579\) | 15.0268 | + | 16.3260i | 0.624493 | + | 0.678484i | ||||
\(580\) | 7.06152 | + | 10.9538i | 0.293214 | + | 0.454831i | ||||
\(581\) | 4.05359 | + | 1.31709i | 0.168171 | + | 0.0546422i | ||||
\(582\) | 3.36797 | + | 1.25071i | 0.139607 | + | 0.0518437i | ||||
\(583\) | −0.556959 | − | 1.09309i | −0.0230669 | − | 0.0452713i | ||||
\(584\) | −1.17632 | + | 0.854646i | −0.0486764 | + | 0.0353655i | ||||
\(585\) | 0.811987 | − | 2.66636i | 0.0335715 | − | 0.110241i | ||||
\(586\) | −12.9195 | − | 9.38658i | −0.533700 | − | 0.387756i | ||||
\(587\) | −1.46265 | + | 9.23484i | −0.0603702 | + | 0.381162i | 0.938942 | + | 0.344076i | \(0.111808\pi\) |
−0.999312 | + | 0.0370866i | \(0.988192\pi\) | |||||||
\(588\) | 14.8094 | − | 4.14244i | 0.610729 | − | 0.170831i | ||||
\(589\) | 25.8172 | − | 35.5343i | 1.06378 | − | 1.46417i | ||||
\(590\) | −18.3984 | + | 16.4549i | −0.757449 | + | 0.677439i | ||||
\(591\) | −12.2769 | + | 21.8123i | −0.505005 | + | 0.897237i | ||||
\(592\) | 19.3608 | − | 9.86483i | 0.795725 | − | 0.405442i | ||||
\(593\) | −30.4218 | − | 30.4218i | −1.24928 | − | 1.24928i | −0.956040 | − | 0.293235i | \(-0.905268\pi\) |
−0.293235 | − | 0.956040i | \(-0.594732\pi\) | |||||||
\(594\) | −19.9732 | − | 13.5322i | −0.819511 | − | 0.555232i | ||||
\(595\) | −6.22622 | + | 16.0592i | −0.255250 | + | 0.658362i | ||||
\(596\) | 5.70610 | − | 1.85403i | 0.233731 | − | 0.0759438i | ||||
\(597\) | −14.1992 | − | 0.588360i | −0.581133 | − | 0.0240800i | ||||
\(598\) | 1.63530 | − | 0.259006i | 0.0668724 | − | 0.0105915i | ||||
\(599\) | 33.0871 | 1.35190 | 0.675950 | − | 0.736947i | \(-0.263733\pi\) | ||||
0.675950 | + | 0.736947i | \(0.263733\pi\) | |||||||
\(600\) | −3.65124 | − | 11.0765i | −0.149061 | − | 0.452197i | ||||
\(601\) | 36.5788 | 1.49208 | 0.746040 | − | 0.665901i | \(-0.231953\pi\) | ||||
0.746040 | + | 0.665901i | \(0.231953\pi\) | |||||||
\(602\) | −27.3337 | + | 4.32923i | −1.11404 | + | 0.176446i | ||||
\(603\) | −28.7260 | + | 11.7547i | −1.16981 | + | 0.478689i | ||||
\(604\) | 1.50585 | − | 0.489281i | 0.0612723 | − | 0.0199086i | ||||
\(605\) | −2.49970 | − | 9.45534i | −0.101627 | − | 0.384414i | ||||
\(606\) | −43.4662 | + | 5.05015i | −1.76569 | + | 0.205148i | ||||
\(607\) | −4.04368 | − | 4.04368i | −0.164128 | − | 0.164128i | 0.620265 | − | 0.784393i | \(-0.287025\pi\) |
−0.784393 | + | 0.620265i | \(0.787025\pi\) | |||||||
\(608\) | 27.0799 | − | 13.7979i | 1.09824 | − | 0.559579i | ||||
\(609\) | 26.3407 | + | 14.8258i | 1.06738 | + | 0.600770i | ||||
\(610\) | −20.1429 | − | 11.7195i | −0.815562 | − | 0.474507i | ||||
\(611\) | 1.26299 | − | 1.73835i | 0.0510949 | − | 0.0703261i | ||||
\(612\) | −4.98708 | − | 5.89004i | −0.201591 | − | 0.238091i | ||||
\(613\) | −0.885420 | + | 5.59032i | −0.0357618 | + | 0.225791i | −0.999096 | − | 0.0425137i | \(-0.986463\pi\) |
0.963334 | + | 0.268305i | \(0.0864634\pi\) | |||||||
\(614\) | −17.3748 | − | 12.6235i | −0.701190 | − | 0.509445i | ||||
\(615\) | 15.9793 | − | 9.38837i | 0.644346 | − | 0.378576i | ||||
\(616\) | −10.5249 | + | 7.64679i | −0.424061 | + | 0.308098i | ||||
\(617\) | −9.61245 | − | 18.8655i | −0.386983 | − | 0.759496i | 0.612538 | − | 0.790441i | \(-0.290149\pi\) |
−0.999521 | + | 0.0309444i | \(0.990149\pi\) | |||||||
\(618\) | −21.4014 | + | 57.6305i | −0.860891 | + | 2.31824i | ||||
\(619\) | −9.38589 | − | 3.04966i | −0.377251 | − | 0.122576i | 0.114253 | − | 0.993452i | \(-0.463553\pi\) |
−0.491504 | + | 0.870875i | \(0.663553\pi\) | |||||||
\(620\) | −1.40019 | + | 25.1108i | −0.0562328 | + | 1.00847i | ||||
\(621\) | 11.4733 | − | 0.376940i | 0.460406 | − | 0.0151261i | ||||
\(622\) | 11.1730 | − | 21.9283i | 0.447998 | − | 0.879246i | ||||
\(623\) | −4.22496 | − | 26.6753i | −0.169269 | − | 1.06873i | ||||
\(624\) | 3.22903 | − | 1.48022i | 0.129265 | − | 0.0592563i | ||||
\(625\) | 24.3820 | + | 5.52429i | 0.975280 | + | 0.220972i | ||||
\(626\) | − | 44.2054i | − | 1.76680i | ||||||
\(627\) | −12.0852 | − | 18.1710i | −0.482638 | − | 0.725680i | ||||
\(628\) | 19.0410 | + | 9.70187i | 0.759819 | + | 0.387147i | ||||
\(629\) | −2.79227 | − | 8.59372i | −0.111335 | − | 0.342654i | ||||
\(630\) | 32.6982 | + | 31.5070i | 1.30273 | + | 1.25527i | ||||
\(631\) | −7.11888 | + | 21.9097i | −0.283398 | + | 0.872209i | 0.703476 | + | 0.710719i | \(0.251630\pi\) |
−0.986874 | + | 0.161491i | \(0.948370\pi\) | |||||||
\(632\) | −4.40225 | + | 4.40225i | −0.175112 | + | 0.175112i | ||||
\(633\) | −17.6534 | + | 22.2948i | −0.701658 | + | 0.886137i | ||||
\(634\) | −15.2451 | − | 20.9831i | −0.605461 | − | 0.833346i | ||||
\(635\) | 3.89442 | + | 38.2836i | 0.154545 | + | 1.51924i | ||||
\(636\) | −1.01431 | − | 0.204020i | −0.0402202 | − | 0.00808992i | ||||
\(637\) | 2.90701 | + | 0.460425i | 0.115180 | + | 0.0182427i | ||||
\(638\) | 21.3249 | + | 3.37753i | 0.844261 | + | 0.133718i | ||||
\(639\) | −39.6265 | + | 9.33406i | −1.56760 | + | 0.369250i | ||||
\(640\) | 11.2708 | − | 19.3717i | 0.445516 | − | 0.765734i | ||||
\(641\) | 28.9528 | + | 39.8501i | 1.14357 | + | 1.57398i | 0.759271 | + | 0.650774i | \(0.225556\pi\) |
0.384295 | + | 0.923210i | \(0.374444\pi\) | |||||||
\(642\) | −10.1382 | − | 8.02763i | −0.400125 | − | 0.316825i | ||||
\(643\) | −11.8952 | + | 11.8952i | −0.469101 | + | 0.469101i | −0.901623 | − | 0.432522i | \(-0.857624\pi\) |
0.432522 | + | 0.901623i | \(0.357624\pi\) | |||||||
\(644\) | −3.21113 | + | 9.88285i | −0.126536 | + | 0.389439i | ||||
\(645\) | −10.0582 | − | 12.2295i | −0.396040 | − | 0.481535i | ||||
\(646\) | −5.59963 | − | 17.2339i | −0.220314 | − | 0.678058i | ||||
\(647\) | 35.7559 | + | 18.2185i | 1.40571 | + | 0.716244i | 0.981881 | − | 0.189499i | \(-0.0606865\pi\) |
0.423827 | + | 0.905743i | \(0.360686\pi\) | |||||||
\(648\) | 11.5588 | − | 3.64646i | 0.454073 | − | 0.143246i | ||||
\(649\) | 15.7537i | 0.618387i | ||||||||
\(650\) | −0.416596 | + | 3.72398i | −0.0163402 | + | 0.146066i | ||||
\(651\) | 24.3066 | + | 53.0237i | 0.952652 | + | 2.07816i | ||||
\(652\) | −1.51624 | − | 9.57319i | −0.0593807 | − | 0.374915i | ||||
\(653\) | 2.05109 | − | 4.02549i | 0.0802653 | − | 0.157530i | −0.847386 | − | 0.530978i | \(-0.821825\pi\) |
0.927651 | + | 0.373448i | \(0.121825\pi\) | |||||||
\(654\) | 14.6413 | − | 13.4762i | 0.572520 | − | 0.526961i | ||||
\(655\) | −4.04347 | − | 1.56767i | −0.157991 | − | 0.0612540i | ||||
\(656\) | 22.4630 | + | 7.29868i | 0.877034 | + | 0.284966i | ||||
\(657\) | 3.23012 | − | 0.240292i | 0.126019 | − | 0.00937470i | ||||
\(658\) | 15.8920 | + | 31.1898i | 0.619535 | + | 1.21591i | ||||
\(659\) | 29.6651 | − | 21.5529i | 1.15559 | − | 0.839583i | 0.166374 | − | 0.986063i | \(-0.446794\pi\) |
0.989214 | + | 0.146479i | \(0.0467942\pi\) | |||||||
\(660\) | 11.4536 | + | 4.99545i | 0.445830 | + | 0.194448i | ||||
\(661\) | 6.22337 | + | 4.52154i | 0.242061 | + | 0.175868i | 0.702201 | − | 0.711979i | \(-0.252201\pi\) |
−0.460140 | + | 0.887846i | \(0.652201\pi\) | |||||||
\(662\) | −3.97821 | + | 25.1174i | −0.154617 | + | 0.976216i | ||||
\(663\) | −0.397908 | − | 1.42254i | −0.0154535 | − | 0.0552467i | ||||
\(664\) | −0.899017 | + | 1.23739i | −0.0348886 | + | 0.0480201i | ||||
\(665\) | 16.5806 | + | 37.5782i | 0.642968 | + | 1.45722i | ||||
\(666\) | −23.7400 | − | 1.97078i | −0.919908 | − | 0.0763662i | ||||
\(667\) | −9.15355 | + | 4.66397i | −0.354427 | + | 0.180590i | ||||
\(668\) | −11.7691 | − | 11.7691i | −0.455360 | − | 0.455360i | ||||
\(669\) | −1.64231 | − | 14.1352i | −0.0634954 | − | 0.546499i | ||||
\(670\) | 35.0715 | − | 22.6094i | 1.35493 | − | 0.873476i | ||||
\(671\) | −14.1455 | + | 4.59615i | −0.546081 | + | 0.177432i | ||||
\(672\) | −1.67098 | + | 40.3266i | −0.0644595 | + | 1.55563i | ||||
\(673\) | −43.2053 | + | 6.84304i | −1.66544 | + | 0.263780i | −0.916844 | − | 0.399245i | \(-0.869272\pi\) |
−0.748597 | + | 0.663025i | \(0.769272\pi\) | |||||||
\(674\) | −15.6825 | −0.604068 | ||||||||
\(675\) | −6.06568 | + | 25.2628i | −0.233468 | + | 0.972364i | ||||
\(676\) | 16.0774 | 0.618362 | ||||||||
\(677\) | 41.1832 | − | 6.52277i | 1.58280 | − | 0.250690i | 0.697802 | − | 0.716291i | \(-0.254162\pi\) |
0.884995 | + | 0.465600i | \(0.154162\pi\) | |||||||
\(678\) | −0.319647 | + | 7.71418i | −0.0122760 | + | 0.296261i | ||||
\(679\) | −4.10447 | + | 1.33362i | −0.157515 | + | 0.0511797i | ||||
\(680\) | −4.79038 | − | 3.90576i | −0.183703 | − | 0.149779i | ||||
\(681\) | −2.46687 | − | 21.2321i | −0.0945306 | − | 0.813617i | ||||
\(682\) | 29.4614 | + | 29.4614i | 1.12813 | + | 1.12813i | ||||
\(683\) | −22.9211 | + | 11.6789i | −0.877052 | + | 0.446880i | −0.833725 | − | 0.552181i | \(-0.813796\pi\) |
−0.0433275 | + | 0.999061i | \(0.513796\pi\) | |||||||
\(684\) | −18.3413 | − | 1.52260i | −0.701296 | − | 0.0582181i | ||||
\(685\) | −8.44485 | + | 39.0870i | −0.322661 | + | 1.49344i | ||||
\(686\) | −0.332698 | + | 0.457919i | −0.0127025 | + | 0.0174834i | ||||
\(687\) | 1.66969 | + | 5.96919i | 0.0637026 | + | 0.227739i | ||||
\(688\) | 3.15678 | − | 19.9311i | 0.120351 | − | 0.759868i | ||||
\(689\) | −0.160204 | − | 0.116395i | −0.00610329 | − | 0.00443430i | ||||
\(690\) | −15.0710 | + | 3.32341i | −0.573742 | + | 0.126520i | ||||
\(691\) | 39.4585 | − | 28.6683i | 1.50107 | − | 1.09059i | 0.531119 | − | 0.847297i | \(-0.321772\pi\) |
0.969952 | − | 0.243295i | \(-0.0782284\pi\) | |||||||
\(692\) | 8.01532 | + | 15.7310i | 0.304697 | + | 0.598001i | ||||
\(693\) | 28.9009 | − | 2.14997i | 1.09785 | − | 0.0816708i | ||||
\(694\) | 12.5807 | + | 4.08773i | 0.477558 | + | 0.155168i | ||||
\(695\) | 14.6314 | − | 17.9453i | 0.555002 | − | 0.680705i | ||||
\(696\) | −7.98082 | + | 7.34574i | −0.302512 | + | 0.278440i | ||||
\(697\) | 4.45903 | − | 8.75134i | 0.168898 | − | 0.331481i | ||||
\(698\) | 5.65785 | + | 35.7223i | 0.214153 | + | 1.35211i | ||||
\(699\) | −14.9821 | − | 32.6826i | −0.566674 | − | 1.23617i | ||||
\(700\) | −19.6380 | − | 12.9406i | −0.742248 | − | 0.489108i | ||||
\(701\) | − | 20.6397i | − | 0.779549i | −0.920910 | − | 0.389774i | \(-0.872553\pi\) | ||
0.920910 | − | 0.389774i | \(-0.127447\pi\) | |||||||
\(702\) | −3.86420 | − | 0.482564i | −0.145845 | − | 0.0182132i | ||||
\(703\) | −19.1993 | − | 9.78255i | −0.724117 | − | 0.368956i | ||||
\(704\) | 1.05656 | + | 3.25177i | 0.0398208 | + | 0.122556i | ||||
\(705\) | −10.7804 | + | 16.8800i | −0.406013 | + | 0.635738i | ||||
\(706\) | −8.81590 | + | 27.1326i | −0.331791 | + | 1.02115i | ||||
\(707\) | 37.1688 | − | 37.1688i | 1.39788 | − | 1.39788i | ||||
\(708\) | 10.4160 | + | 8.24756i | 0.391457 | + | 0.309962i | ||||
\(709\) | 28.6738 | + | 39.4660i | 1.07687 | + | 1.48218i | 0.862925 | + | 0.505332i | \(0.168630\pi\) |
0.213941 | + | 0.976847i | \(0.431370\pi\) | |||||||
\(710\) | 50.0744 | − | 22.0943i | 1.87926 | − | 0.829183i | ||||
\(711\) | 13.4993 | − | 3.17979i | 0.506265 | − | 0.119251i | ||||
\(712\) | 9.57250 | + | 1.51613i | 0.358744 | + | 0.0568195i | ||||
\(713\) | −19.5808 | − | 3.10129i | −0.733305 | − | 0.116144i | ||||
\(714\) | 23.5918 | + | 4.74528i | 0.882903 | + | 0.177588i | ||||
\(715\) | 1.59434 | + | 1.78264i | 0.0596249 | + | 0.0666669i | ||||
\(716\) | −12.6156 | − | 17.3639i | −0.471466 | − | 0.648918i | ||||
\(717\) | 3.90026 | − | 4.92571i | 0.145658 | − | 0.183954i | ||||
\(718\) | 12.1879 | − | 12.1879i | 0.454847 | − | 0.454847i | ||||
\(719\) | 11.3530 | − | 34.9410i | 0.423396 | − | 1.30308i | −0.481126 | − | 0.876652i | \(-0.659772\pi\) |
0.904522 | − | 0.426427i | \(-0.140228\pi\) | |||||||
\(720\) | −29.2176 | + | 15.5765i | −1.08888 | + | 0.580501i | ||||
\(721\) | −22.8201 | − | 70.2330i | −0.849865 | − | 2.61562i | ||||
\(722\) | −7.96723 | − | 4.05950i | −0.296509 | − | 0.151079i | ||||
\(723\) | 0.0633130 | + | 0.0951955i | 0.00235463 | + | 0.00354036i | ||||
\(724\) | 28.2309i | 1.04919i | ||||||||
\(725\) | −4.68197 | − | 22.7746i | −0.173884 | − | 0.845827i | ||||
\(726\) | −12.4214 | + | 5.69412i | −0.461002 | + | 0.211328i | ||||
\(727\) | −2.78100 | − | 17.5586i | −0.103142 | − | 0.651211i | −0.984046 | − | 0.177916i | \(-0.943064\pi\) |
0.880904 | − | 0.473295i | \(-0.156936\pi\) | |||||||
\(728\) | −0.953339 | + | 1.87103i | −0.0353331 | + | 0.0693451i | ||||
\(729\) | −26.1708 | − | 6.64001i | −0.969288 | − | 0.245926i | ||||
\(730\) | −4.20995 | + | 1.11298i | −0.155817 | + | 0.0411934i | ||||
\(731\) | −7.98087 | − | 2.59314i | −0.295183 | − | 0.0959109i | ||||
\(732\) | −4.36674 | + | 11.7589i | −0.161399 | + | 0.434622i | ||||
\(733\) | −16.4820 | − | 32.3478i | −0.608778 | − | 1.19479i | −0.965456 | − | 0.260566i | \(-0.916091\pi\) |
0.356678 | − | 0.934227i | \(-0.383909\pi\) | |||||||
\(734\) | −15.1017 | + | 10.9720i | −0.557413 | + | 0.404984i | ||||
\(735\) | −27.3055 | − | 2.66015i | −1.00718 | − | 0.0981209i | ||||
\(736\) | −11.0980 | − | 8.06314i | −0.409076 | − | 0.297211i | ||||
\(737\) | 4.16615 | − | 26.3041i | 0.153462 | − | 0.968923i | ||||
\(738\) | −16.7320 | − | 19.7615i | −0.615914 | − | 0.727432i | ||||
\(739\) | −23.4965 | + | 32.3402i | −0.864334 | + | 1.18965i | 0.116185 | + | 0.993228i | \(0.462934\pi\) |
−0.980519 | + | 0.196426i | \(0.937066\pi\) | |||||||
\(740\) | 12.2748 | − | 1.24866i | 0.451230 | − | 0.0459017i | ||||
\(741\) | −3.06968 | − | 1.72775i | −0.112768 | − | 0.0634706i | ||||
\(742\) | 2.87442 | − | 1.46459i | 0.105523 | − | 0.0537668i | ||||
\(743\) | 14.6519 | + | 14.6519i | 0.537525 | + | 0.537525i | 0.922801 | − | 0.385276i | \(-0.125894\pi\) |
−0.385276 | + | 0.922801i | \(0.625894\pi\) | |||||||
\(744\) | −20.7918 | + | 2.41570i | −0.762263 | + | 0.0885640i | ||||
\(745\) | −10.6872 | − | 0.595924i | −0.391550 | − | 0.0218330i | ||||
\(746\) | −37.0955 | + | 12.0531i | −1.35816 | + | 0.441294i | ||||
\(747\) | 3.15340 | − | 1.29038i | 0.115377 | − | 0.0472125i | ||||
\(748\) | 6.54064 | − | 1.03594i | 0.239149 | − | 0.0378775i | ||||
\(749\) | 15.5340 | 0.567599 | ||||||||
\(750\) | 1.79597 | − | 34.8825i | 0.0655797 | − | 1.27373i | ||||
\(751\) | −52.1120 | −1.90159 | −0.950796 | − | 0.309817i | \(-0.899732\pi\) | ||||
−0.950796 | + | 0.309817i | \(0.899732\pi\) | |||||||
\(752\) | −25.2108 | + | 3.99299i | −0.919342 | + | 0.145610i | ||||
\(753\) | −34.8224 | − | 1.44291i | −1.26900 | − | 0.0525826i | ||||
\(754\) | 3.31446 | − | 1.07693i | 0.120706 | − | 0.0392197i | ||||
\(755\) | −2.82038 | − | 0.157266i | −0.102644 | − | 0.00572348i | ||||
\(756\) | 13.7090 | − | 20.2342i | 0.498592 | − | 0.735911i | ||||
\(757\) | 21.6753 | + | 21.6753i | 0.787804 | + | 0.787804i | 0.981134 | − | 0.193330i | \(-0.0619288\pi\) |
−0.193330 | + | 0.981134i | \(0.561929\pi\) | |||||||
\(758\) | −22.2821 | + | 11.3533i | −0.809323 | + | 0.412371i | ||||
\(759\) | −4.83127 | + | 8.58366i | −0.175364 | + | 0.311567i | ||||
\(760\) | −14.6637 | + | 1.49167i | −0.531907 | + | 0.0541086i | ||||
\(761\) | −17.1222 | + | 23.5667i | −0.620681 | + | 0.854294i | −0.997402 | − | 0.0720330i | \(-0.977051\pi\) |
0.376722 | + | 0.926327i | \(0.377051\pi\) | |||||||
\(762\) | 51.7764 | − | 14.4828i | 1.87566 | − | 0.524655i | ||||
\(763\) | −3.73935 | + | 23.6093i | −0.135374 | + | 0.854715i | ||||
\(764\) | −0.993304 | − | 0.721678i | −0.0359365 | − | 0.0261094i | ||||
\(765\) | 4.49698 | + | 13.0137i | 0.162589 | + | 0.470512i | ||||
\(766\) | 53.6384 | − | 38.9706i | 1.93803 | − | 1.40806i | ||||
\(767\) | 1.15443 | + | 2.26570i | 0.0416842 | + | 0.0818098i | ||||
\(768\) | −33.6675 | − | 12.5026i | −1.21487 | − | 0.451149i | ||||
\(769\) | 15.3134 | + | 4.97561i | 0.552214 | + | 0.179425i | 0.571815 | − | 0.820383i | \(-0.306240\pi\) |
−0.0196010 | + | 0.999808i | \(0.506240\pi\) | |||||||
\(770\) | −37.6678 | + | 9.95822i | −1.35745 | + | 0.358869i | ||||
\(771\) | 2.50299 | + | 2.71938i | 0.0901430 | + | 0.0979363i | ||||
\(772\) | −7.28952 | + | 14.3065i | −0.262355 | + | 0.514902i | ||||
\(773\) | 1.68889 | + | 10.6632i | 0.0607451 | + | 0.383530i | 0.999266 | + | 0.0383072i | \(0.0121966\pi\) |
−0.938521 | + | 0.345223i | \(0.887803\pi\) | |||||||
\(774\) | −14.4396 | + | 16.7607i | −0.519022 | + | 0.602450i | ||||
\(775\) | 18.5232 | − | 40.8663i | 0.665374 | − | 1.46796i | ||||
\(776\) | − | 1.54869i | − | 0.0555949i | ||||||
\(777\) | 23.8270 | − | 15.8470i | 0.854789 | − | 0.568506i | ||||
\(778\) | 40.2097 | + | 20.4879i | 1.44159 | + | 0.734526i | ||||
\(779\) | −7.23781 | − | 22.2757i | −0.259321 | − | 0.798109i | ||||
\(780\) | 2.01333 | − | 0.120873i | 0.0720887 | − | 0.00432794i | ||||
\(781\) | 10.7945 | − | 33.2221i | 0.386259 | − | 1.18878i | ||||
\(782\) | −5.78337 | + | 5.78337i | −0.206813 | + | 0.206813i | ||||
\(783\) | 23.7285 | − | 4.56154i | 0.847989 | − | 0.163016i | ||||
\(784\) | −20.5509 | − | 28.2859i | −0.733962 | − | 1.01021i | ||||
\(785\) | −25.4160 | − | 28.4178i | −0.907137 | − | 1.01428i | ||||
\(786\) | −1.19479 | + | 5.94009i | −0.0426169 | + | 0.211876i | ||||
\(787\) | −19.4583 | − | 3.08190i | −0.693615 | − | 0.109858i | −0.200334 | − | 0.979728i | \(-0.564203\pi\) |
−0.493281 | + | 0.869870i | \(0.664203\pi\) | |||||||
\(788\) | −17.8895 | − | 2.83342i | −0.637287 | − | 0.100936i | ||||
\(789\) | 0.0313657 | − | 0.155939i | 0.00111665 | − | 0.00555158i | ||||
\(790\) | −17.0586 | + | 7.52674i | −0.606917 | + | 0.267789i | ||||
\(791\) | −5.45143 | − | 7.50326i | −0.193831 | − | 0.266785i | ||||
\(792\) | −2.47110 | + | 10.1020i | −0.0878066 | + | 0.358957i | ||||
\(793\) | −1.69761 | + | 1.69761i | −0.0602838 | + | 0.0602838i | ||||
\(794\) | 5.37969 | − | 16.5570i | 0.190918 | − | 0.587586i | ||||
\(795\) | 1.55564 | + | 0.993508i | 0.0551729 | + | 0.0352361i | ||||
\(796\) | −3.17787 | − | 9.78048i | −0.112637 | − | 0.346660i | ||||
\(797\) | 28.7977 | + | 14.6732i | 1.02007 | + | 0.519750i | 0.882286 | − | 0.470713i | \(-0.156003\pi\) |
0.137780 | + | 0.990463i | \(0.456003\pi\) | |||||||
\(798\) | 47.7828 | − | 31.7796i | 1.69149 | − | 1.12498i | ||||
\(799\) | 10.6145i | 0.375513i | ||||||||
\(800\) | 24.2579 | − | 19.3766i | 0.857648 | − | 0.685066i | ||||
\(801\) | −16.3570 | − | 14.0919i | −0.577946 | − | 0.497911i | ||||
\(802\) | 0.406766 | + | 2.56822i | 0.0143634 | + | 0.0906871i | ||||
\(803\) | −1.26175 | + | 2.47632i | −0.0445262 | + | 0.0873876i | ||||
\(804\) | −15.2106 | − | 16.5256i | −0.536435 | − | 0.582812i | ||||
\(805\) | 11.7149 | − | 14.3683i | 0.412898 | − | 0.506415i | ||||
\(806\) | 6.39608 | + | 2.07821i | 0.225292 | + | 0.0732019i | ||||
\(807\) | 38.6709 | + | 14.3607i | 1.36128 | + | 0.505519i | ||||
\(808\) | 8.56357 | + | 16.8070i | 0.301265 | + | 0.591267i | ||||
\(809\) | −39.3962 | + | 28.6230i | −1.38510 | + | 1.00633i | −0.388713 | + | 0.921359i | \(0.627080\pi\) |
−0.996383 | + | 0.0849720i | \(0.972920\pi\) | |||||||
\(810\) | 36.2240 | + | 2.33145i | 1.27278 | + | 0.0819187i | ||||
\(811\) | 20.6281 | + | 14.9872i | 0.724352 | + | 0.526272i | 0.887772 | − | 0.460284i | \(-0.152253\pi\) |
−0.163420 | + | 0.986557i | \(0.552253\pi\) | |||||||
\(812\) | −3.42167 | + | 21.6036i | −0.120077 | + | 0.758137i | ||||
\(813\) | −10.1568 | + | 2.84104i | −0.356215 | + | 0.0996395i | ||||
\(814\) | 12.0144 | − | 16.5364i | 0.421104 | − | 0.579600i | ||||
\(815\) | −3.65171 | + | 16.9019i | −0.127914 | + | 0.592048i | ||||
\(816\) | −8.60673 | + | 15.2915i | −0.301296 | + | 0.535308i | ||||
\(817\) | −17.8302 | + | 9.08493i | −0.623799 | + | 0.317842i | ||||
\(818\) | 24.0924 | + | 24.0924i | 0.842371 | + | 0.842371i | ||||
\(819\) | 3.99899 | − | 2.42707i | 0.139736 | − | 0.0848088i | ||||
\(820\) | 10.3942 | + | 8.47475i | 0.362981 | + | 0.295951i | ||||
\(821\) | 10.9496 | − | 3.55773i | 0.382142 | − | 0.124165i | −0.111645 | − | 0.993748i | \(-0.535612\pi\) |
0.493787 | + | 0.869583i | \(0.335612\pi\) | |||||||
\(822\) | 55.8224 | + | 2.31307i | 1.94703 | + | 0.0806776i | ||||
\(823\) | −6.75199 | + | 1.06941i | −0.235360 | + | 0.0372773i | −0.273000 | − | 0.962014i | \(-0.588016\pi\) |
0.0376403 | + | 0.999291i | \(0.488016\pi\) | |||||||
\(824\) | 26.5003 | 0.923181 | ||||||||
\(825\) | −15.8303 | − | 15.6960i | −0.551141 | − | 0.546463i | ||||
\(826\) | −41.4262 | −1.44140 | ||||||||
\(827\) | −52.9381 | + | 8.38457i | −1.84084 | + | 0.291560i | −0.977163 | − | 0.212489i | \(-0.931843\pi\) |
−0.863675 | + | 0.504049i | \(0.831843\pi\) | |||||||
\(828\) | 3.14600 | + | 7.68815i | 0.109331 | + | 0.267182i | ||||
\(829\) | −10.1602 | + | 3.30126i | −0.352879 | + | 0.114657i | −0.480092 | − | 0.877218i | \(-0.659397\pi\) |
0.127213 | + | 0.991875i | \(0.459397\pi\) | |||||||
\(830\) | −3.84999 | + | 2.48195i | −0.133635 | + | 0.0861498i | ||||
\(831\) | 0.977326 | − | 0.113551i | 0.0339031 | − | 0.00393905i | ||||
\(832\) | 0.390246 | + | 0.390246i | 0.0135293 | + | 0.0135293i | ||||
\(833\) | −12.9547 | + | 6.60073i | −0.448852 | + | 0.228702i | ||||
\(834\) | −28.1911 | − | 15.8672i | −0.976178 | − | 0.549437i | ||||
\(835\) | 11.9868 | + | 27.1668i | 0.414819 | + | 0.940145i | ||||
\(836\) | 9.28217 | − | 12.7758i | 0.321031 | − | 0.441861i | ||||
\(837\) | 42.2190 | + | 19.7933i | 1.45930 | + | 0.684156i | ||||
\(838\) | −8.87527 | + | 56.0362i | −0.306591 | + | 1.93574i | ||||
\(839\) | 14.0785 | + | 10.2286i | 0.486045 | + | 0.353132i | 0.803661 | − | 0.595087i | \(-0.202882\pi\) |
−0.317617 | + | 0.948219i | \(0.602882\pi\) | |||||||
\(840\) | 7.82517 | − | 17.9416i | 0.269994 | − | 0.619043i | ||||
\(841\) | 5.96721 | − | 4.33543i | 0.205766 | − | 0.149498i | ||||
\(842\) | −20.2358 | − | 39.7150i | −0.697372 | − | 1.36867i | ||||
\(843\) | 14.4044 | − | 38.7887i | 0.496114 | − | 1.33595i | ||||
\(844\) | −19.5712 | − | 6.35907i | −0.673669 | − | 0.218888i | ||||
\(845\) | −26.7432 | − | 10.3685i | −0.919995 | − | 0.356686i | ||||
\(846\) | 25.8069 | + | 10.8194i | 0.887260 | + | 0.371978i | ||||
\(847\) | 7.45188 | − | 14.6251i | 0.256050 | − | 0.502526i | ||||
\(848\) | 0.367990 | + | 2.32339i | 0.0126368 | + | 0.0797857i | ||||
\(849\) | 5.33654 | − | 2.44633i | 0.183150 | − | 0.0839578i | ||||
\(850\) | −9.14804 | − | 16.0924i | −0.313775 | − | 0.551964i | ||||
\(851\) | 9.72578i | 0.333396i | ||||||||
\(852\) | −16.3145 | − | 24.5299i | −0.558924 | − | 0.840382i | ||||
\(853\) | −1.21907 | − | 0.621145i | −0.0417400 | − | 0.0212676i | 0.432996 | − | 0.901396i | \(-0.357456\pi\) |
−0.474736 | + | 0.880128i | \(0.657456\pi\) | |||||||
\(854\) | −12.0861 | − | 37.1973i | −0.413579 | − | 1.27286i | ||||
\(855\) | 29.5270 | + | 14.3611i | 1.00980 | + | 0.491141i | ||||
\(856\) | −1.72258 | + | 5.30157i | −0.0588767 | + | 0.181204i | ||||
\(857\) | −29.8715 | + | 29.8715i | −1.02039 | + | 1.02039i | −0.0206022 | + | 0.999788i | \(0.506558\pi\) |
−0.999788 | + | 0.0206022i | \(0.993442\pi\) | |||||||
\(858\) | 2.07426 | − | 2.61963i | 0.0708142 | − | 0.0894326i | ||||
\(859\) | 2.97175 | + | 4.09026i | 0.101395 | + | 0.139558i | 0.856699 | − | 0.515816i | \(-0.172511\pi\) |
−0.755305 | + | 0.655374i | \(0.772511\pi\) | |||||||
\(860\) | 5.76227 | − | 9.90394i | 0.196492 | − | 0.337721i | ||||
\(861\) | 30.4937 | + | 6.13352i | 1.03922 | + | 0.209030i | ||||
\(862\) | −19.4154 | − | 3.07509i | −0.661290 | − | 0.104738i | ||||
\(863\) | −45.3236 | − | 7.17856i | −1.54283 | − | 0.244361i | −0.673725 | − | 0.738982i | \(-0.735307\pi\) |
−0.869109 | + | 0.494621i | \(0.835307\pi\) | |||||||
\(864\) | 19.8116 | + | 25.4659i | 0.674005 | + | 0.866368i | ||||
\(865\) | −3.18768 | − | 31.3361i | −0.108384 | − | 1.06546i | ||||
\(866\) | 23.2105 | + | 31.9465i | 0.788726 | + | 1.08559i | ||||
\(867\) | −17.3637 | − | 13.7489i | −0.589703 | − | 0.466937i | ||||
\(868\) | −29.8463 | + | 29.8463i | −1.01305 | + | 1.01305i | ||||
\(869\) | −3.67732 | + | 11.3176i | −0.124744 | + | 0.383924i | ||||
\(870\) | −30.2379 | + | 11.8718i | −1.02516 | + | 0.402493i | ||||
\(871\) | −1.32839 | − | 4.08836i | −0.0450107 | − | 0.138529i | ||||
\(872\) | −7.64293 | − | 3.89427i | −0.258822 | − | 0.131877i | ||||
\(873\) | −1.81519 | + | 2.93383i | −0.0614349 | + | 0.0992950i | ||||
\(874\) | 19.5041i | 0.659737i | ||||||||
\(875\) | 24.3205 | + | 34.1901i | 0.822183 | + | 1.15584i | ||||
\(876\) | 0.976724 | + | 2.13067i | 0.0330005 | + | 0.0719888i | ||||
\(877\) | 0.398403 | + | 2.51542i | 0.0134531 | + | 0.0849396i | 0.993501 | − | 0.113820i | \(-0.0363087\pi\) |
−0.980048 | + | 0.198760i | \(0.936309\pi\) | |||||||
\(878\) | 11.2659 | − | 22.1106i | 0.380207 | − | 0.746198i | ||||
\(879\) | 11.2831 | − | 10.3852i | 0.380569 | − | 0.350285i | ||||
\(880\) | 1.58171 | − | 28.3661i | 0.0533193 | − | 0.956222i | ||||
\(881\) | 4.08866 | + | 1.32849i | 0.137751 | + | 0.0447579i | 0.377081 | − | 0.926180i | \(-0.376928\pi\) |
−0.239330 | + | 0.970938i | \(0.576928\pi\) | |||||||
\(882\) | 2.84359 | + | 38.2248i | 0.0957486 | + | 1.28709i | ||||
\(883\) | 23.5467 | + | 46.2131i | 0.792411 | + | 1.55519i | 0.831218 | + | 0.555947i | \(0.187644\pi\) |
−0.0388068 | + | 0.999247i | \(0.512356\pi\) | |||||||
\(884\) | 0.864764 | − | 0.628288i | 0.0290852 | − | 0.0211316i | ||||
\(885\) | −12.0071 | − | 20.4364i | −0.403613 | − | 0.686961i | ||||
\(886\) | 25.3947 | + | 18.4504i | 0.853153 | + | 0.619852i | ||||
\(887\) | −2.20342 | + | 13.9118i | −0.0739835 | + | 0.467114i | 0.922685 | + | 0.385555i | \(0.125990\pi\) |
−0.996669 | + | 0.0815590i | \(0.974010\pi\) | |||||||
\(888\) | 2.76617 | + | 9.88917i | 0.0928267 | + | 0.331859i | ||||
\(889\) | −37.9611 | + | 52.2489i | −1.27317 | + | 1.75237i | ||||
\(890\) | 25.0885 | + | 14.5969i | 0.840967 | + | 0.489288i | ||||
\(891\) | 16.5215 | − | 16.2407i | 0.553491 | − | 0.544084i | ||||
\(892\) | 9.17516 | − | 4.67498i | 0.307207 | − | 0.156530i | ||||
\(893\) | 17.8984 | + | 17.8984i | 0.598947 | + | 0.598947i | ||||
\(894\) | 1.72593 | + | 14.8549i | 0.0577236 | + | 0.496822i | ||||
\(895\) | 9.78669 | + | 37.0190i | 0.327133 | + | 1.23741i | ||||
\(896\) | 35.7731 | − | 11.6234i | 1.19510 | − | 0.388311i | ||||
\(897\) | −0.0658232 | + | 1.58854i | −0.00219777 | + | 0.0530399i | ||||
\(898\) | −14.8827 | + | 2.35720i | −0.496644 | + | 0.0786606i | ||||
\(899\) | −41.7291 | −1.39174 | ||||||||
\(900\) | −18.6655 | + | 2.24933i | −0.622183 | + | 0.0749775i | ||||
\(901\) | 0.978216 | 0.0325891 | ||||||||
\(902\) | 21.9443 | − | 3.47564i | 0.730666 | − | 0.115726i | ||||
\(903\) | 1.10022 | − | 26.5522i | 0.0366131 | − | 0.883600i | ||||
\(904\) | 3.16529 | − | 1.02847i | 0.105276 | − | 0.0342063i | ||||
\(905\) | 18.2064 | − | 46.9594i | 0.605200 | − | 1.56098i | ||||
\(906\) | 0.455476 | + | 3.92024i | 0.0151322 | + | 0.130241i | ||||
\(907\) | −22.7083 | − | 22.7083i | −0.754015 | − | 0.754015i | 0.221211 | − | 0.975226i | \(-0.428999\pi\) |
−0.975226 | + | 0.221211i | \(0.928999\pi\) | |||||||
\(908\) | 13.7818 | − | 7.02216i | 0.457364 | − | 0.233038i | ||||
\(909\) | 3.47634 | − | 41.8761i | 0.115303 | − | 1.38894i | ||||
\(910\) | −4.68766 | + | 4.19250i | −0.155394 | + | 0.138980i | ||||
\(911\) | 0.0838396 | − | 0.115395i | 0.00277773 | − | 0.00382322i | −0.807626 | − | 0.589695i | \(-0.799248\pi\) |
0.810404 | + | 0.585872i | \(0.199248\pi\) | |||||||
\(912\) | 11.2720 | + | 40.2978i | 0.373253 | + | 1.33439i | ||||
\(913\) | −0.457341 | + | 2.88754i | −0.0151358 | + | 0.0955636i | ||||
\(914\) | 52.5674 | + | 38.1924i | 1.73877 | + | 1.26329i | ||||
\(915\) | 14.8471 | − | 16.7437i | 0.490829 | − | 0.553529i | ||||
\(916\) | −3.62869 | + | 2.63640i | −0.119895 | + | 0.0871091i | ||||
\(917\) | −3.30431 | − | 6.48508i | −0.109118 | − | 0.214156i | ||||
\(918\) | 16.8443 | − | 9.29155i | 0.555945 | − | 0.306667i | ||||
\(919\) | 13.7746 | + | 4.47563i | 0.454382 | + | 0.147638i | 0.527261 | − | 0.849703i | \(-0.323219\pi\) |
−0.0728796 | + | 0.997341i | \(0.523219\pi\) | |||||||
\(920\) | 3.60464 | + | 5.59149i | 0.118841 | + | 0.184346i | ||||
\(921\) | 15.1741 | − | 13.9666i | 0.500002 | − | 0.460214i | ||||
\(922\) | 3.12780 | − | 6.13866i | 0.103009 | − | 0.202166i | ||||
\(923\) | −0.882051 | − | 5.56905i | −0.0290331 | − | 0.183307i | ||||
\(924\) | 8.73907 | + | 19.0638i | 0.287494 | + | 0.627154i | ||||
\(925\) | −21.2232 | − | 5.83908i | −0.697814 | − | 0.191988i | ||||
\(926\) | 23.3054i | 0.765864i | ||||||||
\(927\) | −50.2018 | − | 31.0604i | −1.64884 | − | 1.02016i | ||||
\(928\) | −25.7274 | − | 13.1088i | −0.844544 | − | 0.430317i | ||||
\(929\) | −1.23429 | − | 3.79876i | −0.0404958 | − | 0.124633i | 0.928765 | − | 0.370670i | \(-0.120872\pi\) |
−0.969261 | + | 0.246036i | \(0.920872\pi\) | |||||||
\(930\) | −60.6733 | − | 15.7638i | −1.98955 | − | 0.516916i | ||||
\(931\) | −10.7142 | + | 32.9748i | −0.351142 | + | 1.08070i | ||||
\(932\) | 18.3966 | − | 18.3966i | 0.602601 | − | 0.602601i | ||||
\(933\) | 18.5280 | + | 14.6708i | 0.606579 | + | 0.480300i | ||||
\(934\) | −33.7143 | − | 46.4038i | −1.10317 | − | 1.51838i | ||||
\(935\) | −11.5478 | − | 2.49494i | −0.377653 | − | 0.0815931i | ||||
\(936\) | 0.384879 | + | 1.63395i | 0.0125802 | + | 0.0534073i | ||||
\(937\) | −4.28094 | − | 0.678034i | −0.139852 | − | 0.0221504i | 0.0861158 | − | 0.996285i | \(-0.472554\pi\) |
−0.225968 | + | 0.974135i | \(0.572554\pi\) | |||||||
\(938\) | 69.1696 | + | 10.9554i | 2.25847 | + | 0.357706i | ||||
\(939\) | 41.6157 | + | 8.37062i | 1.35808 | + | 0.273165i | ||||
\(940\) | −14.1666 | − | 3.06074i | −0.462064 | − | 0.0998302i | ||||
\(941\) | 17.5284 | + | 24.1258i | 0.571411 | + | 0.786479i | 0.992721 | − | 0.120437i | \(-0.0384297\pi\) |
−0.421310 | + | 0.906917i | \(0.638430\pi\) | |||||||
\(942\) | −33.0667 | + | 41.7606i | −1.07737 | + | 1.36063i | ||||
\(943\) | −7.47530 | + | 7.47530i | −0.243429 | + | 0.243429i | ||||
\(944\) | 9.33451 | − | 28.7287i | 0.303812 | − | 0.935038i | ||||
\(945\) | −35.8528 | + | 24.8166i | −1.16629 | + | 0.807284i | ||||
\(946\) | −5.86590 | − | 18.0534i | −0.190717 | − | 0.586966i | ||||
\(947\) | −1.70547 | − | 0.868982i | −0.0554204 | − | 0.0282381i | 0.426061 | − | 0.904695i | \(-0.359901\pi\) |
−0.481481 | + | 0.876456i | \(0.659901\pi\) | |||||||
\(948\) | 5.55777 | + | 8.35649i | 0.180508 | + | 0.271406i | ||||
\(949\) | 0.448607i | 0.0145624i | ||||||||
\(950\) | −42.5611 | − | 11.7097i | −1.38086 | − | 0.379914i | ||||
\(951\) | 22.6406 | − | 10.3787i | 0.734172 | − | 0.336553i | ||||
\(952\) | −1.62275 | − | 10.2456i | −0.0525936 | − | 0.332063i | ||||
\(953\) | 20.6500 | − | 40.5279i | 0.668919 | − | 1.31283i | −0.268047 | − | 0.963406i | \(-0.586378\pi\) |
0.936966 | − | 0.349421i | \(-0.113622\pi\) | |||||||
\(954\) | 0.997100 | − | 2.37833i | 0.0322823 | − | 0.0770014i | ||||
\(955\) | 1.18685 | + | 1.84103i | 0.0384055 | + | 0.0595744i | ||||
\(956\) | 4.32398 | + | 1.40495i | 0.139848 | + | 0.0454392i | ||||
\(957\) | −7.21769 | + | 19.4361i | −0.233315 | + | 0.628278i | ||||
\(958\) | −30.3908 | − | 59.6453i | −0.981883 | − | 1.92705i | ||||
\(959\) | −54.2961 | + | 39.4484i | −1.75331 | + | 1.27386i | ||||
\(960\) | −3.84904 | − | 3.41305i | −0.124227 | − | 0.110156i | ||||
\(961\) | −40.0679 | − | 29.1110i | −1.29251 | − | 0.939066i | ||||
\(962\) | 0.516125 | − | 3.25869i | 0.0166406 | − | 0.105064i | ||||
\(963\) | 9.47709 | − | 8.02422i | 0.305395 | − | 0.258577i | ||||
\(964\) | −0.0486280 | + | 0.0669308i | −0.00156620 | + | 0.00215569i | ||||
\(965\) | 21.3518 | − | 19.0964i | 0.687338 | − | 0.614734i | ||||
\(966\) | −22.5717 | − | 12.7044i | −0.726234 | − | 0.408757i | ||||
\(967\) | −26.5017 | + | 13.5033i | −0.852237 | + | 0.434237i | −0.824825 | − | 0.565388i | \(-0.808727\pi\) |
−0.0274120 | + | 0.999624i | \(0.508727\pi\) | |||||||
\(968\) | 4.16504 | + | 4.16504i | 0.133870 | + | 0.133870i | ||||
\(969\) | 17.2846 | − | 2.00822i | 0.555261 | − | 0.0645134i | ||||
\(970\) | 1.67663 | − | 4.32451i | 0.0538334 | − | 0.138852i | ||||
\(971\) | 10.2787 | − | 3.33977i | 0.329861 | − | 0.107178i | −0.139405 | − | 0.990236i | \(-0.544519\pi\) |
0.469265 | + | 0.883057i | \(0.344519\pi\) | |||||||
\(972\) | −2.08846 | − | 19.4262i | −0.0669875 | − | 0.623094i | ||||
\(973\) | 38.3814 | − | 6.07901i | 1.23045 | − | 0.194884i | ||||
\(974\) | −32.4538 | −1.03989 | ||||||||
\(975\) | −3.42693 | − | 1.09735i | −0.109750 | − | 0.0351434i | ||||
\(976\) | 28.5193 | 0.912880 | ||||||||
\(977\) | 24.1929 | − | 3.83177i | 0.773999 | − | 0.122589i | 0.243073 | − | 0.970008i | \(-0.421844\pi\) |
0.530925 | + | 0.847419i | \(0.321844\pi\) | |||||||
\(978\) | 24.1386 | + | 1.00021i | 0.771868 | + | 0.0319833i | ||||
\(979\) | 17.6186 | − | 5.72462i | 0.563092 | − | 0.182960i | ||||
\(980\) | −5.07412 | − | 19.1933i | −0.162087 | − | 0.613107i | ||||
\(981\) | 9.91428 | + | 16.3354i | 0.316539 | + | 0.521548i | ||||
\(982\) | 12.8288 | + | 12.8288i | 0.409384 | + | 0.409384i | ||||
\(983\) | 12.4232 | − | 6.32992i | 0.396237 | − | 0.201893i | −0.244507 | − | 0.969648i | \(-0.578626\pi\) |
0.640744 | + | 0.767755i | \(0.278626\pi\) | |||||||
\(984\) | −5.47478 | + | 9.72698i | −0.174530 | + | 0.310085i | ||||
\(985\) | 27.9302 | + | 16.2502i | 0.889929 | + | 0.517775i | ||||
\(986\) | −10.1192 | + | 13.9278i | −0.322260 | + | 0.443552i | ||||
\(987\) | −32.3719 | + | 9.05498i | −1.03041 | + | 0.288223i | ||||
\(988\) | 0.398752 | − | 2.51762i | 0.0126860 | − | 0.0800962i | ||||
\(989\) | 7.30721 | + | 5.30900i | 0.232356 | + | 0.168816i | ||||
\(990\) | −17.8367 | + | 25.5330i | −0.566886 | + | 0.811493i | ||||
\(991\) | 11.0748 | − | 8.04633i | 0.351804 | − | 0.255600i | −0.397822 | − | 0.917463i | \(-0.630234\pi\) |
0.749625 | + | 0.661863i | \(0.230234\pi\) | |||||||
\(992\) | −25.2966 | − | 49.6474i | −0.803169 | − | 1.57631i | ||||
\(993\) | −22.8926 | − | 8.50131i | −0.726476 | − | 0.269781i | ||||
\(994\) | 87.3615 | + | 28.3855i | 2.77094 | + | 0.900333i | ||||
\(995\) | −1.02144 | + | 18.3183i | −0.0323817 | + | 0.580730i | ||||
\(996\) | 1.66974 | + | 1.81410i | 0.0529079 | + | 0.0574820i | ||||
\(997\) | 21.3402 | − | 41.8826i | 0.675852 | − | 1.32643i | −0.257083 | − | 0.966389i | \(-0.582761\pi\) |
0.932935 | − | 0.360045i | \(-0.117239\pi\) | |||||||
\(998\) | 1.42253 | + | 8.98148i | 0.0450293 | + | 0.284304i | ||||
\(999\) | 6.35067 | − | 21.9761i | 0.200926 | − | 0.695293i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 75.2.l.a.62.2 | yes | 64 | |
3.2 | odd | 2 | inner | 75.2.l.a.62.7 | yes | 64 | |
5.2 | odd | 4 | 375.2.l.b.293.2 | 64 | |||
5.3 | odd | 4 | 375.2.l.a.293.7 | 64 | |||
5.4 | even | 2 | 375.2.l.c.332.7 | 64 | |||
15.2 | even | 4 | 375.2.l.b.293.7 | 64 | |||
15.8 | even | 4 | 375.2.l.a.293.2 | 64 | |||
15.14 | odd | 2 | 375.2.l.c.332.2 | 64 | |||
25.2 | odd | 20 | 375.2.l.c.218.2 | 64 | |||
25.11 | even | 5 | 375.2.l.a.32.2 | 64 | |||
25.14 | even | 10 | 375.2.l.b.32.7 | 64 | |||
25.23 | odd | 20 | inner | 75.2.l.a.23.7 | yes | 64 | |
75.2 | even | 20 | 375.2.l.c.218.7 | 64 | |||
75.11 | odd | 10 | 375.2.l.a.32.7 | 64 | |||
75.14 | odd | 10 | 375.2.l.b.32.2 | 64 | |||
75.23 | even | 20 | inner | 75.2.l.a.23.2 | ✓ | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.2.l.a.23.2 | ✓ | 64 | 75.23 | even | 20 | inner | |
75.2.l.a.23.7 | yes | 64 | 25.23 | odd | 20 | inner | |
75.2.l.a.62.2 | yes | 64 | 1.1 | even | 1 | trivial | |
75.2.l.a.62.7 | yes | 64 | 3.2 | odd | 2 | inner | |
375.2.l.a.32.2 | 64 | 25.11 | even | 5 | |||
375.2.l.a.32.7 | 64 | 75.11 | odd | 10 | |||
375.2.l.a.293.2 | 64 | 15.8 | even | 4 | |||
375.2.l.a.293.7 | 64 | 5.3 | odd | 4 | |||
375.2.l.b.32.2 | 64 | 75.14 | odd | 10 | |||
375.2.l.b.32.7 | 64 | 25.14 | even | 10 | |||
375.2.l.b.293.2 | 64 | 5.2 | odd | 4 | |||
375.2.l.b.293.7 | 64 | 15.2 | even | 4 | |||
375.2.l.c.218.2 | 64 | 25.2 | odd | 20 | |||
375.2.l.c.218.7 | 64 | 75.2 | even | 20 | |||
375.2.l.c.332.2 | 64 | 15.14 | odd | 2 | |||
375.2.l.c.332.7 | 64 | 5.4 | even | 2 |